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264115512216 = 23351289105401
BaseRepresentation
bin1111010111111010000…
…0101110001110011000
3221020201122221011200000
43311332200232032120
513311402032342331
6321155532013000
725040012545413
oct3657640561630
9836648834600
10264115512216
11a2013359526
124322b901160
131bba15b309a
14cad7396b7a
156d0c1680e6
hex3d7e82e398

264115512216 has 96 divisors (see below), whose sum is σ = 742388446800. Its totient is φ = 87969369600.

The previous prime is 264115512187. The next prime is 264115512247. The reversal of 264115512216 is 612215511462.

264115512216 is a `hidden beast` number, since 2 + 6 + 4 + 115 + 512 + 21 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2453116 + ... + 2558516.

Almost surely, 2264115512216 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 264115512216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371194223400).

264115512216 is an abundant number, since it is smaller than the sum of its proper divisors (478272934584).

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

264115512216 is a wasteful number, since it uses less digits than its factorization.

264115512216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106711 (or 106695 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The spelling of 264115512216 in words is "two hundred sixty-four billion, one hundred fifteen million, five hundred twelve thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1289 1944 2578 3867 5156 7734 10312 11601 15468 23202 30936 34803 46404 69606 92808 104409 105401 139212 208818 210802 278424 313227 316203 417636 421604 626454 632406 835272 843208 948609 1252908 1264812 1897218 2505816 2529624 2845827 3794436 5691654 7588872 8537481 11383308 17074962 22766616 25612443 34149924 51224886 68299848 102449772 135861889 204899544 271723778 407585667 543447556 815171334 1086895112 1222757001 1630342668 2445514002 3260685336 3668271003 4891028004 7336542006 9782056008 11004813009 14673084012 22009626018 29346168024 33014439027 44019252036 66028878054 88038504072 132057756108 264115512216