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2156632366512 = 2431329310938333
BaseRepresentation
bin11111011000100001010…
…011100101110110110000
321122011122102021111021210
4133120201103211312300
5240313240341212022
64330424312120120
7311545234436601
oct37304123456660
97564572244253
102156632366512
11761693825078
122a9b77996040
131284a5bcb350
147654b01dda8
153b173ea7a0c
hex1f6214e5db0

2156632366512 has 160 divisors (see below), whose sum is σ = 6208911979200. Its totient is φ = 640474361856.

The previous prime is 2156632366501. The next prime is 2156632366517.

It is a happy number.

2156632366512 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21566323665122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2156632366517) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56241298 + ... + 56279630.

It is an arithmetic number, because the mean of its divisors is an integer number (38805699870).

Almost surely, 22156632366512 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 2156632366512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3104455989600).

2156632366512 is an abundant number, since it is smaller than the sum of its proper divisors (4052279612688).

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

2156632366512 is a wasteful number, since it uses less digits than its factorization.

2156632366512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41495 (or 41489 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 48.

The spelling of 2156632366512 in words is "two trillion, one hundred fifty-six billion, six hundred thirty-two million, three hundred sixty-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 39 48 52 58 78 87 104 116 156 174 208 232 312 348 377 464 624 696 754 1131 1392 1508 2262 3016 3109 4524 6032 6218 9048 9327 12436 18096 18654 24872 37308 38333 40417 49744 74616 76666 80834 90161 114999 121251 149232 153332 161668 180322 229998 242502 270483 306664 323336 360644 459996 485004 498329 540966 613328 646672 721288 919992 970008 996658 1081932 1111657 1172093 1442576 1494987 1839984 1940016 1993316 2163864 2223314 2344186 2989974 3334971 3516279 3986632 4327728 4446628 4688372 5979948 6669942 7032558 7973264 8893256 9376744 11959896 13339884 14065116 14451541 17786512 18753488 23919792 26679768 28130232 28903082 43354623 53359536 56260464 57806164 86709246 115612328 119177297 173418492 231224656 238354594 346836984 357531891 476709188 693673968 715063782 953418376 1430127564 1549304861 1906836752 2860255128 3098609722 3456141613 4647914583 5720510256 6197219444 6912283226 9295829166 10368424839 12394438888 13824566452 18591658332 20736849678 24788877776 27649132904 37183316664 41473699356 44929840969 55298265808 74366633328 82947398712 89859681938 134789522907 165894797424 179719363876 269579045814 359438727752 539158091628 718877455504 1078316183256 2156632366512