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145104150657544 = 23133209562377323
BaseRepresentation
bin100000111111100010110001…
…010110101111101000001000
3201000202211011202012021000021
4200333202301112233220020
5123004341300032020134
61232335532045350224
742364300060032151
oct4077426126575010
9630684152167007
10145104150657544
11422643632092a1
12143361a6568374
1362c73551a5080
1427b9115064928
1511b975a52c0b4
hex83f8b15afa08

145104150657544 has 64 divisors (see below), whose sum is σ = 293145985641600. Its totient is φ = 66937504467456.

The previous prime is 145104150657413. The next prime is 145104150657649. The reversal of 145104150657544 is 445756051401541.

It is a super-2 number, since 2×1451041506575442 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 145104150657491 and 145104150657500.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1876558867 + ... + 1876636189.

It is an arithmetic number, because the mean of its divisors is an integer number (4580406025650).

Almost surely, 2145104150657544 is an apocalyptic number.

It is an amenable number.

145104150657544 is an abundant number, since it is smaller than the sum of its proper divisors (148041834984056).

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

145104150657544 is a wasteful number, since it uses less digits than its factorization.

145104150657544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86174 (or 86170 counting only the distinct ones).

The product of its (nonzero) digits is 6720000, while the sum is 52.

The spelling of 145104150657544 in words is "one hundred forty-five trillion, one hundred four billion, one hundred fifty million, six hundred fifty-seven thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 3209 5623 6418 11246 12836 22492 25672 41717 44984 73099 77323 83434 146198 154646 166868 292396 309292 333736 584792 618584 1005199 2010398 4020796 8041592 18044207 36088414 72176828 144353656 234574691 248129507 434787229 469149382 496259014 869574458 938298764 992518028 1739148916 1876597528 1985036056 3225683591 3478297832 5652233977 6451367182 11304467954 12902734364 22608935908 25805468728 45217871816 1395232217861 2790464435722 5580928871444 11161857742888 18138018832193 36276037664386 72552075328772 145104150657544