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10741561152 = 263713735821
BaseRepresentation
bin10100000000011111…
…10011011101000000
31000201121010211210020
422000033303131000
5133444314424102
64533512533440
7530120522550
oct120017633500
930647124706
1010741561152
114612370973
1220b93b1280
13102251bb5a
1473c839160
1542d03ebbc
hex2803f3740

10741561152 has 112 divisors (see below), whose sum is σ = 32509675392. Its totient is φ = 3066255360.

The previous prime is 10741561151. The next prime is 10741561157. The reversal of 10741561152 is 25116514701.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×107415611522 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10741561151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1842402 + ... + 1848222.

Almost surely, 210741561152 is an apocalyptic number.

10741561152 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 10741561152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16254837696).

10741561152 is an abundant number, since it is smaller than the sum of its proper divisors (21768114240).

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

10741561152 is a wasteful number, since it uses less digits than its factorization.

10741561152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7216 (or 7206 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 33.

The spelling of 10741561152 in words is "ten billion, seven hundred forty-one million, five hundred sixty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 1373 2746 4119 5492 5821 8238 9611 10984 11642 16476 17463 19222 21968 23284 28833 32952 34926 38444 40747 43936 46568 57666 65904 69852 76888 81494 87872 93136 115332 122241 131808 139704 153776 162988 186272 230664 244482 263616 279408 307552 325976 372544 461328 488964 558816 615104 651952 922656 977928 1117632 1303904 1845312 1955856 2607808 3911712 7823424 7992233 15984466 23976699 31968932 47953398 55945631 63937864 95906796 111891262 127875728 167836893 191813592 223782524 255751456 335673786 383627184 447565048 511502912 671347572 767254368 895130096 1342695144 1534508736 1790260192 2685390288 3580520384 5370780576 10741561152