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374135906364064 = 25132396494052527
BaseRepresentation
bin101010100010001100100110…
…1110010111110101010100000
31211001201001011121001200112021
41111010121031302332222200
5343014320314012122224
63403415355042511224
7141543266352254005
oct12504311562765240
91731631147050467
10374135906364064
11a9236168492059
1235b66066065514
131309bb31651940
1468563bb29d8ac
152d3c2009621e4
hex154464dcbeaa0

374135906364064 has 96 divisors (see below), whose sum is σ = 827814757593600. Its totient is φ = 165153208061952.

The previous prime is 374135906364047. The next prime is 374135906364109. The reversal of 374135906364064 is 460463609531473.

It is a junction number, because it is equal to n+sod(n) for n = 374135906363993 and 374135906364011.

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, 90295369 + ... + 94347895.

It is an arithmetic number, because the mean of its divisors is an integer number (8623070391600).

Almost surely, 2374135906364064 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 374135906364064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413907378796800).

374135906364064 is an abundant number, since it is smaller than the sum of its proper divisors (453678851229536).

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

374135906364064 is a wasteful number, since it uses less digits than its factorization.

374135906364064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4062222 (or 4062214 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 61.

The spelling of 374135906364064 in words is "three hundred seventy-four trillion, one hundred thirty-five billion, nine hundred six million, three hundred sixty-four thousand, sixty-four".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 92 104 184 208 299 368 416 598 736 1196 2392 4784 9568 9649 19298 38596 77192 125437 154384 221927 250874 308768 443854 501748 887708 1003496 1775416 2006992 2885051 3550832 4013984 4052527 5770102 7101664 8105054 11540204 16210108 23080408 32420216 46160816 52682851 64840432 92321632 93208121 105365702 129680864 186416242 210731404 372832484 421462808 745664968 842925616 1211705573 1491329936 1685851232 2423411146 2982659872 4846822292 9693644584 19387289168 38774578336 39102833023 78205666046 156411332092 312822664184 508336829299 625645328368 899365159529 1016673658598 1251290656736 1798730319058 2033347317196 3597460638116 4066694634392 7194921276232 8133389268784 11691747073877 14389842552464 16266778537568 23383494147754 28779685104928 46766988295508 93533976591016 187067953182032 374135906364064