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81315481554824 = 2311171917316536437
BaseRepresentation
bin10010011111010010111100…
…011001001000111110001000
3101122220200110201110221120112
4102133102330121020332020
541124233101234223244
6444535452211413452
723061564302623256
oct2237227431107610
9348820421427515
1081315481554824
1123a0077a4a1640
12915359a2b4288
13364b02b49cc8a
1416119942b75d6
15960307a9639e
hex49f4bc648f88

81315481554824 has 128 divisors (see below), whose sum is σ = 186451645737600. Its totient is φ = 32765955747840.

The previous prime is 81315481554823. The next prime is 81315481554851. The reversal of 81315481554824 is 42845518451318.

It is a happy number.

It is a super-2 number, since 2×813154815548242 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (81315481554823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3350867 + ... + 13185570.

It is an arithmetic number, because the mean of its divisors is an integer number (1456653482325).

Almost surely, 281315481554824 is an apocalyptic number.

It is an amenable number.

81315481554824 is an abundant number, since it is smaller than the sum of its proper divisors (105136164182776).

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

81315481554824 is a wasteful number, since it uses less digits than its factorization.

81315481554824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16536663 (or 16536659 counting only the distinct ones).

The product of its digits is 24576000, while the sum is 59.

The spelling of 81315481554824 in words is "eighty-one trillion, three hundred fifteen billion, four hundred eighty-one million, five hundred fifty-four thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 11 17 19 22 34 38 44 68 76 88 136 152 173 187 209 323 346 374 418 646 692 748 836 1292 1384 1496 1672 1903 2584 2941 3287 3553 3806 5882 6574 7106 7612 11764 13148 14212 15224 23528 26296 28424 32351 36157 55879 64702 72314 111758 129404 144628 223516 258808 289256 447032 614669 1229338 2458676 4917352 16536437 33072874 66145748 132291496 181900807 281119429 314192303 363801614 562238858 628384606 727603228 1124477716 1256769212 1455206456 2248955432 2513538424 2860803601 3092313719 3456115333 5341269151 5721607202 6184627438 6912230666 10682538302 11443214404 12369254876 13824461332 21365076604 22886428808 24738509752 27648922664 31468839611 42730153208 48633661217 54355268419 58753960661 62937679222 97267322434 108710536838 117507921322 125875358444 194534644868 217421073676 235015842644 251750716888 389069289736 434842147352 470031685288 534970273387 597907952609 924039563123 1069940546774 1195815905218 1848079126246 2139881093548 2391631810436 3696158252492 4279762187096 4783263620872 7392316504984 10164435194353 20328870388706 40657740777412 81315481554824