Search a number
-
+
10153402452 = 22321033273029
BaseRepresentation
bin10010111010011000…
…01010000001010100
3222012121102021201200
421131030022001110
5131243232334302
64355302352500
7506416332264
oct113514120124
928177367650
1010153402452
1143403705a6
121b7442b730
13c5a70ac5b
146c46957a4
153e65b081c
hex25d30a054

10153402452 has 36 divisors (see below), whose sum is σ = 25690484820. Its totient is φ = 3381178752.

The previous prime is 10153402423. The next prime is 10153402489. The reversal of 10153402452 is 25420435101.

10153402452 is a `hidden beast` number, since 101 + 534 + 0 + 24 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8793563076 + 1359839376 = 93774^2 + 36876^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×101534024522 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99327 + ... + 173702.

Almost surely, 210153402452 is an apocalyptic number.

10153402452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10153402452 is an abundant number, since it is smaller than the sum of its proper divisors (15537082368).

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

10153402452 is a wasteful number, since it uses less digits than its factorization.

10153402452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274072 (or 274067 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 10153402452 its reverse (25420435101), we get a palindrome (35573837553).

The spelling of 10153402452 in words is "ten billion, one hundred fifty-three million, four hundred two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1033 2066 3099 4132 6198 9297 12396 18594 37188 273029 546058 819087 1092116 1638174 2457261 3276348 4914522 9829044 282038957 564077914 846116871 1128155828 1692233742 2538350613 3384467484 5076701226 10153402452