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53901053901 = 32531011139901
BaseRepresentation
bin110010001100110000…
…001100111111001101
312011010110100020112200
4302030300030333031
51340342132211101
640432314352113
73615501253512
oct621460147715
9164113306480
1053901053901
112094a815642
12a54342b639
135110029546
142874889309
1516070c2986
hexc8cc0cfcd

53901053901 has 48 divisors (see below), whose sum is σ = 80828600112. Its totient is φ = 34594560000.

The previous prime is 53901053881. The next prime is 53901053911. The reversal of 53901053901 is 10935010935.

53901053901 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 7169855625 + 46731198276 = 84675^2 + 216174^2 .

It is not a de Polignac number, because 53901053901 - 29 = 53901053389 is a prime.

It is a super-2 number, since 2×539010539012 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53901053911) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5439051 + ... + 5448951.

It is an arithmetic number, because the mean of its divisors is an integer number (1683929169).

Almost surely, 253901053901 is an apocalyptic number.

It is an amenable number.

53901053901 is a deficient number, since it is larger than the sum of its proper divisors (26927546211).

53901053901 is a wasteful number, since it uses less digits than its factorization.

53901053901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10174 (or 10171 counting only the distinct ones).

The product of its (nonzero) digits is 18225, while the sum is 36.

The spelling of 53901053901 in words is "fifty-three billion, nine hundred one million, fifty-three thousand, nine hundred one".

Divisors: 1 3 9 53 101 113 159 303 339 477 909 1017 5353 5989 9901 11413 16059 17967 29703 34239 48177 53901 89109 102717 524753 604889 1000001 1118813 1574259 1814667 3000003 3356439 4722777 5444001 9000009 10069317 53000053 59297089 113000113 159000159 177891267 339000339 477000477 533673801 1017001017 5989005989 17967017967 53901053901