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690970032230400 = 2123352131931127257
BaseRepresentation
bin1001110100011011101111111…
…1010100100101000000000000
310100121112002102120202110002000
42131012323333110211000000
51211031323111222333100
610445323130051224000
7265353636352003356
oct23506737724450000
93317462376673060
10690970032230400
1119018982170815a
12655b67558a8000
132387226b2a4030
14c28b1b133d7d6
1554d3ab2401900
hex2746eff525000

690970032230400 has 4992 divisors, whose sum is σ = 3005358578073600. Its totient is φ = 154105439846400.

The previous prime is 690970032230377. The next prime is 690970032230411. The reversal of 690970032230400 is 4032230079096.

690970032230400 is a `hidden beast` number, since 6 + 9 + 0 + 9 + 7 + 0 + 0 + 3 + 2 + 230 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (4992).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 383 ways as a sum of consecutive naturals, for example, 2688599347072 + ... + 2688599347328.

Almost surely, 2690970032230400 is an apocalyptic number.

690970032230400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 690970032230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502679289036800).

690970032230400 is an abundant number, since it is smaller than the sum of its proper divisors (2314388545843200).

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

690970032230400 is a wasteful number, since it uses less digits than its factorization.

690970032230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 690970032230400 in words is "six hundred ninety trillion, nine hundred seventy billion, thirty-two million, two hundred thirty thousand, four hundred".