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228363634287936 = 2632756637806123
BaseRepresentation
bin110011111011001000001101…
…010011010010010101000000
31002221120100110022112202101200
4303323020031103102111000
5214413002210334203221
62125404445540301200
766046504512655560
oct6373101523222500
91087510408482350
10228363634287936
1166844523145224
122174249b0a1800
139a567a1649584
144056c04a6cda0
151b603ded83426
hexcfb20d4d2540

228363634287936 has 84 divisors (see below), whose sum is σ = 748072143285792. Its totient is φ = 65246752652544.

The previous prime is 228363634287857. The next prime is 228363634287941. The reversal of 228363634287936 is 639782436363822.

228363634287936 is a `hidden beast` number, since 2 + 2 + 8 + 363 + 63 + 42 + 87 + 93 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28318899030 + ... + 28318907093.

Almost surely, 2228363634287936 is an apocalyptic number.

It is an amenable number.

228363634287936 is an abundant number, since it is smaller than the sum of its proper divisors (519708508997856).

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

228363634287936 is a wasteful number, since it uses less digits than its factorization.

228363634287936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56637806148 (or 56637806135 counting only the distinct ones).

The product of its digits is 2257403904, while the sum is 72.

The spelling of 228363634287936 in words is "two hundred twenty-eight trillion, three hundred sixty-three billion, six hundred thirty-four million, two hundred eighty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 56637806123 113275612246 169913418369 226551224492 339826836738 396464642861 453102448984 509740255107 679653673476 792929285722 906204897968 1019480510214 1189393928583 1359307346952 1585858571444 1812409795936 2038961020428 2378787857166 2718614693904 3171717142888 3568181785749 3624819591872 4077922040856 4757575714332 5437229387808 6343434285776 7136363571498 8155844081712 9515151428664 10874458775616 12686868571552 14272727142996 16311688163424 19030302857328 25373737143104 28545454285992 32623376326848 38060605714656 57090908571984 76121211429312 114181817143968 228363634287936