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921665718912 = 27319274945953
BaseRepresentation
bin11010110100101111000…
…11101100101010000000
310021002222110122122021010
431122113203230222000
5110100032411001122
61543223555000520
7123405510230541
oct15322743545200
93232873578233
10921665718912
113259702a8114
1212a75bb99140
1368bb3299823
14328749cc4c8
1518e94628e0c
hexd6978eca80

921665718912 has 128 divisors (see below), whose sum is σ = 2578019400000. Its totient is φ = 290940125184.

The previous prime is 921665718907. The next prime is 921665718937. The reversal of 921665718912 is 219817566129.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (57).

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 15 ways as a sum of consecutive naturals, for example, 20033728 + ... + 20079680.

Almost surely, 2921665718912 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 921665718912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289009700000).

921665718912 is an abundant number, since it is smaller than the sum of its proper divisors (1656353681088).

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

921665718912 is a wasteful number, since it uses less digits than its factorization.

921665718912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48738 (or 48726 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 57.

The spelling of 921665718912 in words is "nine hundred twenty-one billion, six hundred sixty-five million, seven hundred eighteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 2749 3648 5498 7296 8247 10996 16494 21992 32988 43984 45953 52231 65976 87968 91906 104462 131952 137859 156693 175936 183812 208924 263904 275718 313386 351872 367624 417848 527808 551436 626772 735248 835696 873107 1055616 1102872 1253544 1470496 1671392 1746214 2205744 2507088 2619321 2940992 3342784 3492428 4411488 5014176 5238642 5881984 6685568 6984856 8822976 10028352 10477284 13969712 17645952 20056704 20954568 27939424 41909136 55878848 83818272 111757696 126324797 167636544 252649594 335273088 378974391 505299188 757948782 1010598376 1515897564 2021196752 2400171143 3031795128 4042393504 4800342286 6063590256 7200513429 8084787008 9600684572 12127180512 14401026858 16169574016 19201369144 24254361024 28802053716 38402738288 48508722048 57604107432 76805476576 115208214864 153610953152 230416429728 307221906304 460832859456 921665718912