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21352913712 = 24331337102761
BaseRepresentation
bin10011111000101110…
…111001101100110000
32001010010021101222000
4103320232321230300
5322212321214322
613450455014000
71354100525514
oct237056715460
961103241860
1021352913712
119068188129
12417b06a300
132023a7b2b0
141067c5c144
1584e90e3ac
hex4f8bb9b30

21352913712 has 160 divisors (see below), whose sum is σ = 67790036160. Its totient is φ = 6392494080.

The previous prime is 21352913683. The next prime is 21352913737. The reversal of 21352913712 is 21731925312.

It is a happy number.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156412 + ... + 259172.

It is an arithmetic number, because the mean of its divisors is an integer number (423687726).

Almost surely, 221352913712 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 21352913712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33895018080).

21352913712 is an abundant number, since it is smaller than the sum of its proper divisors (46437122448).

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

21352913712 is a wasteful number, since it uses less digits than its factorization.

21352913712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102828 (or 102816 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The spelling of 21352913712 in words is "twenty-one billion, three hundred fifty-two million, nine hundred thirteen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 37 39 48 52 54 72 74 78 104 108 111 117 144 148 156 208 216 222 234 296 312 333 351 432 444 468 481 592 624 666 702 888 936 962 999 1332 1404 1443 1776 1872 1924 1998 2664 2808 2886 3848 3996 4329 5328 5616 5772 7696 7992 8658 11544 12987 15984 17316 23088 25974 34632 51948 69264 102761 103896 205522 207792 308283 411044 616566 822088 924849 1233132 1335893 1644176 1849698 2466264 2671786 2774547 3699396 3802157 4007679 4932528 5343572 5549094 7398792 7604314 8015358 10687144 11098188 11406471 12023037 14797584 15208628 16030716 21374288 22196376 22812942 24046074 30417256 32061432 34219413 36069111 44392752 45625884 48092148 49428041 60834512 64122864 68438826 72138222 91251768 96184296 98856082 102658239 136877652 144276444 148284123 182503536 192368592 197712164 205316478 273755304 288552888 296568246 395424328 410632956 444852369 547510608 577105776 593136492 790848656 821265912 889704738 1186272984 1334557107 1642531824 1779409476 2372545968 2669114214 3558818952 5338228428 7117637904 10676456856 21352913712