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475991342208 = 2732203272
BaseRepresentation
bin1101110110100110100…
…10110111110010000000
31200111121122200112021200
412323103102313302000
530244312240422313
61002400054221200
746250336436444
oct6732322676200
91614548615250
10475991342208
11173959781558
1278300654800
1335b6910caa5
14190767b2824
15c5aced1b73
hex6ed34b7c80

475991342208 has 72 divisors (see below), whose sum is σ = 1369782056955. Its totient is φ = 158655975168.

The previous prime is 475991342179. The next prime is 475991342209. The reversal of 475991342208 is 802243199574.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

475991342208 is a `hidden beast` number, since 4 + 7 + 5 + 9 + 91 + 342 + 208 = 666.

It can be written as a sum of positive squares in only one way, i.e., 237995671104 + 237995671104 = 487848^2 + 487848^2 .

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

It is an ABA number since it can be written as A⋅BA, here for A=2, B=487848.

It is not an unprimeable number, because it can be changed into a prime (475991342209) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23406541 + ... + 23426867.

Almost surely, 2475991342208 is an apocalyptic number.

475991342208 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

475991342208 is an abundant number, since it is smaller than the sum of its proper divisors (893790714747).

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

475991342208 is an frugal number, since it uses more digits than its factorization.

475991342208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40674 (or 20332 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 475991342208 in words is "four hundred seventy-five billion, nine hundred ninety-one million, three hundred forty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 20327 40654 60981 81308 121962 162616 182943 243924 325232 365886 487848 650464 731772 975696 1300928 1463544 1951392 2601856 2927088 3902784 5854176 7805568 11708352 23416704 413186929 826373858 1239560787 1652747716 2479121574 3305495432 3718682361 4958243148 6610990864 7437364722 9916486296 13221981728 14874729444 19832972592 26443963456 29749458888 39665945184 52887926912 59498917776 79331890368 118997835552 158663780736 237995671104 475991342208