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10716831144 = 2333179832969
BaseRepresentation
bin10011111101100010…
…11101110110101000
31000122212121102121000
421332301131312220
5133422002044034
64531230515000
7526400363445
oct117661356650
930585542530
1010716831144
1145aa40a948
1220b1065a60
13101a370806
1473943c9cc
1542aca7599
hex27ec5dda8

10716831144 has 128 divisors (see below), whose sum is σ = 31562784000. Its totient is φ = 3357591552.

The previous prime is 10716831131. The next prime is 10716831157. The reversal of 10716831144 is 44113861701.

It is an interprime number because it is at equal distance from previous prime (10716831131) and next prime (10716831157).

It is a super-2 number, since 2×107168311442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10716831099 and 10716831108.

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, 3608092 + ... + 3611060.

It is an arithmetic number, because the mean of its divisors is an integer number (246584250).

Almost surely, 210716831144 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 10716831144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15781392000).

10716831144 is an abundant number, since it is smaller than the sum of its proper divisors (20845952856).

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

10716831144 is a wasteful number, since it uses less digits than its factorization.

10716831144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3984 (or 3974 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 10716831144 in words is "ten billion, seven hundred sixteen million, eight hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 983 1224 1836 1966 2949 2969 3672 3932 5898 5938 7864 8847 8907 11796 11876 16711 17694 17814 23592 23752 26541 26721 33422 35388 35628 50133 50473 53082 53442 66844 70776 71256 80163 100266 100946 106164 106884 133688 150399 151419 160326 200532 201892 212328 213768 300798 302838 320652 401064 403784 451197 454257 601596 605676 641304 902394 908514 1203192 1211352 1362771 1804788 1817028 2725542 2918527 3609576 3634056 5451084 5837054 8755581 10902168 11674108 17511162 23348216 26266743 35022324 49614959 52533486 70044648 78800229 99229918 105066972 148844877 157600458 198459836 210133944 297689754 315200916 396919672 446534631 595379508 630401832 893069262 1190759016 1339603893 1786138524 2679207786 3572277048 5358415572 10716831144