Search a number
-
+
53630465400 = 23325229794703
BaseRepresentation
bin110001111100100111…
…111111010101111000
312010102121011220220100
4301330213333111320
51334313344343100
640345410555400
73606004301661
oct617447772570
9163377156810
1053630465400
1120820aaa486
12a488898b60
135098c588c5
14284a970368
1515dd473400
hexc7c9ff578

53630465400 has 72 divisors (see below), whose sum is σ = 180108985680. Its totient is φ = 14301456960.

The previous prime is 53630465393. The next prime is 53630465417. The reversal of 53630465400 is 456403635.

53630465400 is a `hidden beast` number, since 53 + 63 + 0 + 4 + 6 + 540 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 14895552 + ... + 14899151.

It is an arithmetic number, because the mean of its divisors is an integer number (2501513690).

Almost surely, 253630465400 is an apocalyptic number.

53630465400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

53630465400 is an abundant number, since it is smaller than the sum of its proper divisors (126478520280).

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

53630465400 is a wasteful number, since it uses less digits than its factorization.

53630465400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29794725 (or 29794713 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 53630465400 in words is "fifty-three billion, six hundred thirty million, four hundred sixty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 29794703 59589406 89384109 119178812 148973515 178768218 238357624 268152327 297947030 357536436 446920545 536304654 595894060 715072872 744867575 893841090 1072609308 1191788120 1340761635 1489735150 1787682180 2145218616 2234602725 2681523270 2979470300 3575364360 4469205450 5363046540 5958940600 6703808175 8938410900 10726093080 13407616350 17876821800 26815232700 53630465400