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103261505664 = 273475721493
BaseRepresentation
bin110000000101011011…
…1011000100010000000
3100212112110201222220210
41200022313120202000
53142434421140124
6115234312234120
710313626213242
oct1401267304200
9325473658823
10103261505664
113a87a478629
121801a09b940
139978434655
144dd829a092
152a45736a29
hex180add8880

103261505664 has 64 divisors (see below), whose sum is σ = 280124346240. Its totient is φ = 33688144896.

The previous prime is 103261505603. The next prime is 103261505687. The reversal of 103261505664 is 466505162301.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2842699 + ... + 2878794.

It is an arithmetic number, because the mean of its divisors is an integer number (4376942910).

Almost surely, 2103261505664 is an apocalyptic number.

It is an amenable number.

103261505664 is an abundant number, since it is smaller than the sum of its proper divisors (176862840576).

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

103261505664 is an equidigital number, since it uses as much as digits as its factorization.

103261505664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5721557 (or 5721545 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

Adding to 103261505664 its reverse (466505162301), we get a palindrome (569766667965).

The spelling of 103261505664 in words is "one hundred three billion, two hundred sixty-one million, five hundred five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 282 376 384 564 752 1128 1504 2256 3008 4512 6016 9024 18048 5721493 11442986 17164479 22885972 34328958 45771944 68657916 91543888 137315832 183087776 268910171 274631664 366175552 537820342 549263328 732351104 806730513 1075640684 1098526656 1613461026 2151281368 2197053312 3226922052 4302562736 6453844104 8605125472 12907688208 17210250944 25815376416 34420501888 51630752832 103261505664