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10970495136 = 253271975531
BaseRepresentation
bin10100011011110010…
…00111100010100000
31001022112220220011200
422031321013202200
5134431421321021
65012331441200
7535600445556
oct121571074240
931275826150
1010970495136
11471a616407
122161bb6200
13105aa96b53
14760dcdbd6
154431b2126
hex28de478a0

10970495136 has 144 divisors (see below), whose sum is σ = 31968675648. Its totient is φ = 3567513600.

The previous prime is 10970495119. The next prime is 10970495141. The reversal of 10970495136 is 63159407901.

10970495136 is a `hidden beast` number, since 1 + 0 + 97 + 0 + 49 + 513 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 10970495091 and 10970495100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1980691 + ... + 1986221.

It is an arithmetic number, because the mean of its divisors is an integer number (222004692).

Almost surely, 210970495136 is an apocalyptic number.

10970495136 is a gapful number since it is divisible by the number (16) 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 10970495136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15984337824).

10970495136 is an abundant number, since it is smaller than the sum of its proper divisors (20998180512).

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

10970495136 is a wasteful number, since it uses less digits than its factorization.

10970495136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5715 (or 5704 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 10970495136 in words is "ten billion, nine hundred seventy million, four hundred ninety-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 71 72 96 97 142 144 194 213 284 288 291 388 426 568 582 639 776 852 873 1136 1164 1278 1552 1704 1746 2272 2328 2556 3104 3408 3492 4656 5112 5531 6816 6887 6984 9312 10224 11062 13774 13968 16593 20448 20661 22124 27548 27936 33186 41322 44248 49779 55096 61983 66372 82644 88496 99558 110192 123966 132744 165288 176992 199116 220384 247932 265488 330576 392701 398232 495864 530976 536507 661152 785402 796464 991728 1073014 1178103 1570804 1592928 1609521 1983456 2146028 2356206 3141608 3219042 3534309 4292056 4712412 4828563 6283216 6438084 7068618 8584112 9424824 9657126 12566432 12876168 14137236 17168224 18849648 19314252 25752336 28274472 37699296 38091997 38628504 51504672 56548944 76183994 77257008 113097888 114275991 152367988 154514016 228551982 304735976 342827973 457103964 609471952 685655946 914207928 1218943904 1371311892 1828415856 2742623784 3656831712 5485247568 10970495136