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52600098384 = 24332927115493
BaseRepresentation
bin110000111111001101…
…011100111001010000
312000202210100212002000
4300333031130321100
51330211111122014
640055242354000
73541323313341
oct607715347120
9160683325060
1052600098384
1120342425499
12a23b7bb900
134c63648692
14278db9a0c8
15157cc94509
hexc3f35ce50

52600098384 has 160 divisors (see below), whose sum is σ = 156774489600. Its totient is φ = 16865210880.

The previous prime is 52600098359. The next prime is 52600098409. The reversal of 52600098384 is 48389000625.

52600098384 is a `hidden beast` number, since 5 + 2 + 600 + 0 + 9 + 8 + 38 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (52600098359) and next prime (52600098409).

It is a super-2 number, since 2×526000983842 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 3387342 + ... + 3402834.

It is an arithmetic number, because the mean of its divisors is an integer number (979840560).

Almost surely, 252600098384 is an apocalyptic number.

52600098384 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52600098384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78387244800).

52600098384 is an abundant number, since it is smaller than the sum of its proper divisors (104174391216).

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

52600098384 is a wasteful number, since it uses less digits than its factorization.

52600098384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15810 (or 15798 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 52600098384 in words is "fifty-two billion, six hundred million, ninety-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 271 348 432 464 522 542 696 783 813 1044 1084 1392 1566 1626 2088 2168 2439 3132 3252 4176 4336 4878 6264 6504 7317 7859 9756 12528 13008 14634 15493 15718 19512 23577 29268 30986 31436 39024 46479 47154 58536 61972 62872 70731 92958 94308 117072 123944 125744 139437 141462 185916 188616 212193 247888 278874 282924 371832 377232 418311 424386 449297 557748 565848 743664 836622 848772 898594 1115496 1131696 1347891 1673244 1697544 1797188 2230992 2695782 3346488 3395088 3594376 4043673 4198603 5391564 6692976 7188752 8087346 8397206 10783128 12131019 12595809 16174692 16794412 21566256 24262038 25191618 32349384 33588824 37787427 48524076 50383236 64698768 67177648 75574854 97048152 100766472 113362281 121759487 151149708 194096304 201532944 226724562 243518974 302299416 365278461 453449124 487037948 604598832 730556922 906898248 974075896 1095835383 1461113844 1813796496 1948151792 2191670766 2922227688 3287506149 4383341532 5844455376 6575012298 8766683064 13150024596 17533366128 26300049192 52600098384