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10140225026553 = 3253739110925939
BaseRepresentation
bin1001001110001111010010…
…0000101011100111111001
31022220101200201100122222100
42103203310200223213321
52312114140101322203
633322204410014013
72064415141403556
oct223436440534771
938811621318870
1010140225026553
11325a499743a16
1211792b0a17309
135872b0527b0b
14270b0a5b5a2d
15128b857b3ea3
hex938f482b9f9

10140225026553 has 48 divisors (see below), whose sum is σ = 14957595432000. Its totient is φ = 6617397181824.

The previous prime is 10140225026549. The next prime is 10140225026557. The reversal of 10140225026553 is 35562052204101.

10140225026553 is a `hidden beast` number, since 1 + 0 + 1 + 40 + 2 + 2 + 502 + 65 + 53 = 666.

It is an interprime number because it is at equal distance from previous prime (10140225026549) and next prime (10140225026557).

It is not a de Polignac number, because 10140225026553 - 22 = 10140225026549 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10140225026557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 390912858 + ... + 390938796.

It is an arithmetic number, because the mean of its divisors is an integer number (311616571500).

Almost surely, 210140225026553 is an apocalyptic number.

It is an amenable number.

10140225026553 is a deficient number, since it is larger than the sum of its proper divisors (4817370405447).

10140225026553 is a wasteful number, since it uses less digits than its factorization.

10140225026553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27846 (or 27843 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 10140225026553 in words is "ten trillion, one hundred forty billion, two hundred twenty-five million, twenty-six thousand, five hundred fifty-three".

Divisors: 1 3 9 53 159 477 739 1109 2217 3327 6651 9981 25939 39167 58777 77817 117501 176331 233451 352503 528993 819551 1374767 2458653 4124301 7375959 12372903 19168921 28766351 43436203 57506763 86299053 130308609 172520289 258897159 390925827 1015952813 1524616603 3047858439 4573849809 9143575317 13721549427 21258333389 63775000167 191325000501 1126691669617 3380075008851 10140225026553