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52037421199504 = 241311315727750909
BaseRepresentation
bin10111101010011111010000…
…00000010111000010010000
320211020201200100121000100221
423311033220000113002100
523310040114311341004
6302401354500322424
713650402544032166
oct1365175000270220
9224221610530327
1052037421199504
1115642a45721a34
125a0524b0a3414
1323061529aa040
14cbc8a5d81236
1560392d030354
hex2f53e8017090

52037421199504 has 160 divisors (see below), whose sum is σ = 110636788479840. Its totient is φ = 23567253405696.

The previous prime is 52037421199487. The next prime is 52037421199619. The reversal of 52037421199504 is 40599112473025.

It can be written as a sum of positive squares in 16 ways, for example, as 48730842639504 + 3306578560000 = 6980748^2 + 1818400^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1022140002 + ... + 1022190910.

It is an arithmetic number, because the mean of its divisors is an integer number (691479927999).

Almost surely, 252037421199504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52037421199504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55318394239920).

52037421199504 is an abundant number, since it is smaller than the sum of its proper divisors (58599367280336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52037421199504 is a wasteful number, since it uses less digits than its factorization.

52037421199504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51477 (or 51471 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 52.

The spelling of 52037421199504 in words is "fifty-two trillion, thirty-seven billion, four hundred twenty-one million, one hundred ninety-nine thousand, five hundred four".

Divisors: 1 2 4 8 13 16 26 52 104 113 157 208 226 277 314 452 554 628 904 1108 1256 1469 1808 2041 2216 2512 2938 3601 4082 4432 5876 7202 8164 11752 14404 16328 17741 23504 28808 31301 32656 35482 43489 50909 57616 62602 70964 86978 101818 125204 141928 173956 203636 230633 250408 283856 347912 406913 407272 461266 500816 565357 661817 695824 813826 814544 922532 1130714 1323634 1627652 1845064 2261428 2647268 3255304 3690128 4522856 4914257 5294536 5752717 6510608 7992713 9045712 9828514 10589072 11505434 14101793 15985426 19657028 23010868 28203586 31970852 39314056 46021736 56407172 63885341 63941704 74785321 78628112 92043472 103905269 112814344 127770682 127883408 149570642 183323309 207810538 225628688 255541364 299141284 366646618 415621076 511082728 598282568 733293236 831242152 903176569 1022165456 1196565136 1466586472 1593502609 1662484304 1806353138 2213981501 2933172944 3187005218 3612706276 4427963002 6374010436 7225412552 8855926004 11741295397 12748020872 14450825104 17711852008 20715533917 23482590794 25496041744 28781759513 35423704016 41431067834 46965181588 57563519026 82862135668 93930363176 115127038052 165724271336 187860726352 230254076104 250179909613 331448542672 460508152208 500359819226 1000719638452 2001439276904 3252338824969 4002878553808 6504677649938 13009355299876 26018710599752 52037421199504