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18300137513956 = 22372578092
BaseRepresentation
bin1000010100100110101010…
…01100100010001111100100
32101210110212001022010010021
410022103111030202033210
54344312140200421311
6102530544521404524
73566066316213424
oct412232514421744
971713761263107
1018300137513956
1159160545a7851
122076833039744
13a299071c7b8c
14473a34ca8484
1521b06667c171
hex10a4d53223e4

18300137513956 has 27 divisors (see below), whose sum is σ = 32914750228059. Its totient is φ = 8902615598208.

The previous prime is 18300137513941. The next prime is 18300137513971. The reversal of 18300137513956 is 65931573100381.

It is a happy number.

The square root of 18300137513956 is 4277866.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (18300137513941) and next prime (18300137513971).

It can be written as a sum of positive squares in 4 ways, for example, as 2907195502500 + 15392942011456 = 1705050^2 + 3923384^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 316533180 + ... + 316590988.

Almost surely, 218300137513956 is an apocalyptic number.

18300137513956 is the 4277866-th square number.

It is an amenable number.

18300137513956 is a deficient number, since it is larger than the sum of its proper divisors (14614612714103).

18300137513956 is an frugal number, since it uses more digits than its factorization.

18300137513956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115696 (or 57848 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 52.

The spelling of 18300137513956 in words is "eighteen trillion, three hundred billion, one hundred thirty-seven million, five hundred thirteen thousand, nine hundred fifty-six".

Divisors: 1 2 4 37 74 148 1369 2738 5476 57809 115618 231236 2138933 4277866 8555732 79140521 158281042 316562084 3341880481 6683760962 13367521924 123649577797 247299155594 494598311188 4575034378489 9150068756978 18300137513956