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507311563712 = 26312933172753
BaseRepresentation
bin1110110000111100010…
…00000010001111000000
31210111110102012122002112
413120132020002033000
531302433230014322
61025020011234452
751436440066542
oct7303610021700
91714412178075
10507311563712
11186171174538
12823a1748a28
1338abab70035
141a7a82c3692
15d2e29925e2
hex761e2023c0

507311563712 has 112 divisors (see below), whose sum is σ = 1046386397952. Its totient is φ = 243775242240.

The previous prime is 507311563711. The next prime is 507311563721. The reversal of 507311563712 is 217365113705.

It is a self number, because there is not a number n which added to its sum of digits gives 507311563712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507311563711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184274528 + ... + 184277280.

It is an arithmetic number, because the mean of its divisors is an integer number (9342735696).

Almost surely, 2507311563712 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 507311563712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523193198976).

507311563712 is an abundant number, since it is smaller than the sum of its proper divisors (539074834240).

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

507311563712 is a wasteful number, since it uses less digits than its factorization.

507311563712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3406 (or 3396 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 41.

The spelling of 507311563712 in words is "five hundred seven billion, three hundred eleven million, five hundred sixty-three thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 293 317 496 586 634 992 1172 1268 1984 2344 2536 2753 4688 5072 5506 9083 9376 9827 10144 11012 18166 18752 19654 20288 22024 36332 39308 44048 72664 78616 85343 88096 92881 145328 157232 170686 176192 185762 290656 314464 341372 371524 581312 628928 682744 743048 806629 872701 1365488 1486096 1613258 1745402 2730976 2879311 2972192 3226516 3490804 5461952 5758622 5944384 6453032 6981608 11517244 12906064 13963216 23034488 25005499 25812128 27053731 27926432 46068976 50010998 51624256 54107462 55852864 92137952 100021996 108214924 184275904 200043992 216429848 255701393 400087984 432859696 511402786 800175968 865719392 1022805572 1600351936 1731438784 2045611144 4091222288 7926743183 8182444576 15853486366 16364889152 31706972732 63413945464 126827890928 253655781856 507311563712