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1092921568752 = 2431383179117889
BaseRepresentation
bin11111110011101110011…
…00111010110111110000
310212111000120202012111110
433321313030322313300
5120401300410200002
62154025314113320
7141650421024516
oct17716714726760
93774016665443
101092921568752
11391561807912
1215799527b840
137c0a6471010
143ac7d3724b6
151d669342e6c
hexfe7733adf0

1092921568752 has 160 divisors (see below), whose sum is σ = 3094414444800. Its totient is φ = 330373103616.

The previous prime is 1092921568729. The next prime is 1092921568757. The reversal of 1092921568752 is 2578651292901.

It is a junction number, because it is equal to n+sod(n) for n = 1092921568692 and 1092921568701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1092921568757) 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, 9211824 + ... + 9329712.

It is an arithmetic number, because the mean of its divisors is an integer number (19340090280).

Almost surely, 21092921568752 is an apocalyptic number.

1092921568752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1092921568752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547207222400).

1092921568752 is an abundant number, since it is smaller than the sum of its proper divisors (2001492876048).

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

1092921568752 is a wasteful number, since it uses less digits than its factorization.

1092921568752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118175 (or 118169 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 57.

The spelling of 1092921568752 in words is "one trillion, ninety-two billion, nine hundred twenty-one million, five hundred sixty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 83 104 156 166 179 208 249 312 332 358 498 537 624 664 716 996 1074 1079 1328 1432 1992 2148 2158 2327 2864 3237 3984 4296 4316 4654 6474 6981 8592 8632 9308 12948 13962 14857 17264 18616 25896 27924 29714 37232 44571 51792 55848 59428 89142 111696 117889 118856 178284 193141 235778 237712 353667 356568 386282 471556 579423 707334 713136 772564 943112 1158846 1414668 1532557 1545128 1886224 2317692 2829336 3065114 3090256 4597671 4635384 5658672 6130228 9195342 9270768 9784787 12260456 18390684 19569574 21102131 24520912 29354361 36781368 39139148 42204262 58708722 63306393 73562736 78278296 84408524 117417444 126612786 127202231 156556592 168817048 234834888 253225572 254404462 274327703 337634096 381606693 469669776 506451144 508808924 548655406 763213386 822983109 1012902288 1017617848 1097310812 1526426772 1645966218 1751476873 2035235696 2194621624 3052853544 3291932436 3502953746 4389243248 5254430619 6105707088 6583864872 7005907492 10508861238 13167729744 14011814984 21017722476 22769199349 28023629968 42035444952 45538398698 68307598047 84070889904 91076797396 136615196094 182153594792 273230392188 364307189584 546460784376 1092921568752