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127370881076712 = 233713340717117699
BaseRepresentation
bin11100111101011111011000…
…000111110000110111101000
3121200222112111200220210222020
4130331133120013300313220
5113143321031023423322
61130521212555024440
735554146112452330
oct3475373007606750
9550875450823866
10127370881076712
11376477618a7899
12123513b643b120
13560c03a6ca8c0
142364ad80520c0
15ead32016405c
hex73d7d81f0de8

127370881076712 has 128 divisors (see below), whose sum is σ = 392025457152000. Its totient is φ = 33582458527488.

The previous prime is 127370881076707. The next prime is 127370881076797. The reversal of 127370881076712 is 217670188073721.

It is a super-2 number, since 2×1273708810767122 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1117962 + ... + 15999737.

It is an arithmetic number, because the mean of its divisors is an integer number (3062698884000).

Almost surely, 2127370881076712 is an apocalyptic number.

127370881076712 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 127370881076712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196012728576000).

127370881076712 is an abundant number, since it is smaller than the sum of its proper divisors (264654576075288).

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

127370881076712 is a wasteful number, since it uses less digits than its factorization.

127370881076712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17121135 (or 17121131 counting only the distinct ones).

The product of its (nonzero) digits is 11063808, while the sum is 60.

The spelling of 127370881076712 in words is "one hundred twenty-seven trillion, three hundred seventy billion, eight hundred eighty-one million, seventy-six thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 3407 6814 10221 13628 20442 23849 27256 40884 44291 47698 71547 81768 88582 95396 132873 143094 177164 190792 265746 286188 310037 354328 531492 572376 620074 930111 1062984 1240148 1860222 2480296 3720444 7440888 17117699 34235398 51353097 68470796 102706194 119823893 136941592 205412388 222530087 239647786 359471679 410824776 445060174 479295572 667590261 718943358 890120348 958591144 1335180522 1437886716 1557710609 1780240696 2670361044 2875773432 3115421218 4673131827 5340722088 6230842436 9346263654 12461684872 18692527308 37385054616 58320000493 116640000986 174960001479 233280001972 349920002958 408240003451 466560003944 699840005916 758160006409 816480006902 1224720010353 1399680011832 1516320012818 1632960013804 2274480019227 2449440020706 3032640025636 3265920027608 4548960038454 4898880041412 5307120044863 6065280051272 9097920076908 9797760082824 10614240089726 15921360134589 18195840153816 21228480179452 31842720269178 42456960358904 63685440538356 127370881076712