Search a number
-
+
10625321088 = 273230372
BaseRepresentation
bin10011110010101000…
…11000100010000000
31000102111102020101200
421321110120202000
5133230040233323
64514201301200
7524206511334
oct117124304200
930374366350
1010625321088
114562797aa8
122086494800
131004410455
1472b21b7c4
15422c2d443
hex279518880

10625321088 has 72 divisors (see below), whose sum is σ = 30585539205. Its totient is φ = 3540607488.

The previous prime is 10625320967. The next prime is 10625321129. The reversal of 10625321088 is 88012352601.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

10625321088 is a `hidden beast` number, since 1 + 0 + 625 + 3 + 21 + 0 + 8 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9137830464 + 1487490624 = 95592^2 + 38568^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=72888.

It is a super-2 number, since 2×106253210882 (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 an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3497106 + ... + 3500142.

Almost surely, 210625321088 is an apocalyptic number.

10625321088 is a gapful number since it is divisible by the number (18) 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 10625321088

10625321088 is an abundant number, since it is smaller than the sum of its proper divisors (19960218117).

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

10625321088 is an frugal number, since it uses more digits than its factorization.

10625321088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6094 (or 3042 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 10625321088 its reverse (88012352601), we get a palindrome (98637673689).

The spelling of 10625321088 in words is "ten billion, six hundred twenty-five million, three hundred twenty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 3037 6074 9111 12148 18222 24296 27333 36444 48592 54666 72888 97184 109332 145776 194368 218664 291552 388736 437328 583104 874656 1166208 1749312 3498624 9223369 18446738 27670107 36893476 55340214 73786952 83010321 110680428 147573904 166020642 221360856 295147808 332041284 442721712 590295616 664082568 885443424 1180591232 1328165136 1770886848 2656330272 3541773696 5312660544 10625321088