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10135140552 = 233415640649
BaseRepresentation
bin10010111000001100…
…11111100011001000
3222011100001111010000
421130012133203020
5131224043444202
64353411123000
7506105162505
oct113406374310
928140044100
1010135140552
114331028119
121b6a2a3460
13c569b59b4
146c20a04ac
153e4ba491c
hex25c19f8c8

10135140552 has 40 divisors (see below), whose sum is σ = 28387779750. Its totient is φ = 3378379968.

The previous prime is 10135140539. The next prime is 10135140553. The reversal of 10135140552 is 25504153101.

10135140552 is a `hidden beast` number, since 10 + 13 + 51 + 40 + 552 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8750854116 + 1384286436 = 93546^2 + 37206^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10135140553) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7819677 + ... + 7820972.

Almost surely, 210135140552 is an apocalyptic number.

10135140552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10135140552 is an abundant number, since it is smaller than the sum of its proper divisors (18252639198).

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

10135140552 is a wasteful number, since it uses less digits than its factorization.

10135140552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15640667 (or 15640654 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 10135140552 its reverse (25504153101), we get a palindrome (35639293653).

The spelling of 10135140552 in words is "ten billion, one hundred thirty-five million, one hundred forty thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 15640649 31281298 46921947 62562596 93843894 125125192 140765841 187687788 281531682 375375576 422297523 563063364 844595046 1126126728 1266892569 1689190092 2533785138 3378380184 5067570276 10135140552