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55150829121232 = 241317432129170371
BaseRepresentation
bin11001000101000110011011…
…00101000010111011010000
321020021100221002212121221101
430202203031211002323100
524212042344223334412
6313143535141234144
714421341646516505
oct1442431545027320
9236240832777841
1055150829121232
1116633376294859
126228725102954
1324a0915a74570
14d894588cb4ac
156598edb3b457
hex3228cd942ed0

55150829121232 has 160 divisors (see below), whose sum is σ = 124736265118080. Its totient is φ = 23388655288320.

The previous prime is 55150829121187. The next prime is 55150829121287. The reversal of 55150829121232 is 23212192805155.

It is a super-2 number, since 2×551508291212322 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 323625007 + ... + 323795377.

It is an arithmetic number, because the mean of its divisors is an integer number (779601656988).

Almost surely, 255150829121232 is an apocalyptic number.

55150829121232 is a gapful number since it is divisible by the number (52) 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 55150829121232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62368132559040).

55150829121232 is an abundant number, since it is smaller than the sum of its proper divisors (69585435996848).

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

55150829121232 is a wasteful number, since it uses less digits than its factorization.

55150829121232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172581 (or 172575 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 46.

The spelling of 55150829121232 in words is "fifty-five trillion, one hundred fifty billion, eight hundred twenty-nine million, one hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 17 26 34 43 52 68 86 104 136 172 208 221 272 344 442 559 688 731 884 1118 1462 1768 2129 2236 2924 3536 4258 4472 5848 8516 8944 9503 11696 17032 19006 27677 34064 36193 38012 55354 72386 76024 91547 110708 144772 152048 170371 183094 221416 289544 340742 366188 442832 470509 579088 681484 732376 941018 1190111 1362968 1464752 1556299 1882036 2214823 2380222 2725936 2896307 3112598 3764072 4429646 4760444 5792614 6225196 7325953 7528144 8859292 9520888 11585228 12450392 14651906 17718584 19041776 20231887 23170456 24900784 29303812 35437168 37651991 40463774 46340912 58607624 75303982 80927548 95237389 117215248 124541201 150607964 161855096 190474778 249082402 301215928 323710192 362719859 380949556 498164804 602431856 725439718 761899112 996329608 1450879436 1523798224 1619035613 1992659216 2901758872 3238071226 4715358167 5803517744 6166237603 6476142452 9430716334 12332475206 12952284904 15596953937 18861432668 24664950412 25904569808 31193907874 37722865336 49329900824 62387815748 75445730672 80161088839 98659801648 124775631496 160322177678 202760401181 249551262992 265148216929 320644355356 405520802362 530296433858 641288710712 811041604724 1060592867716 1282577421424 1622083209448 2121185735432 3244166418896 3446926820077 4242371470864 6893853640154 13787707280308 27575414560616 55150829121232