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150649347653568 = 26322437310730891
BaseRepresentation
bin100010010000001111001000…
…110110100011111111000000
3201202101221022001122101110200
4202100033020312203333000
5124221214330444403233
61252223204353525200
743506025162555461
oct4220171066437700
9652357261571420
10150649347653568
114400203636a325
1214a90a29873800
13660a23207011a
14292b6784dcd68
151263b06734313
hex8903c8da3fc0

150649347653568 has 84 divisors (see below), whose sum is σ = 431826911414808. Its totient is φ = 50214384207360.

The previous prime is 150649347653549. The next prime is 150649347653579. The reversal of 150649347653568 is 865356743946051.

150649347653568 is a `hidden beast` number, since 1 + 5 + 0 + 6 + 4 + 9 + 3 + 4 + 7 + 6 + 53 + 568 = 666.

150649347653568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 150649347653496 and 150649347653505.

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, 8673403 + ... + 19404293.

It is an arithmetic number, because the mean of its divisors is an integer number (5140796564462).

Almost surely, 2150649347653568 is an apocalyptic number.

150649347653568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

150649347653568 is an abundant number, since it is smaller than the sum of its proper divisors (281177563761240).

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

150649347653568 is a wasteful number, since it uses less digits than its factorization.

150649347653568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10755282 (or 10755269 counting only the distinct ones).

The product of its (nonzero) digits is 1959552000, while the sum is 72.

The spelling of 150649347653568 in words is "one hundred fifty trillion, six hundred forty-nine billion, three hundred forty-seven million, six hundred fifty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 24373 48746 73119 97492 146238 194984 219357 292476 389968 438714 584952 779936 877428 1169904 1559872 1754856 2339808 3509712 4679616 7019424 10730891 14038848 21461782 32192673 42923564 64385346 85847128 96578019 128770692 171694256 193156038 257541384 343388512 386312076 515082768 686777024 772624152 1030165536 1545248304 2060331072 3090496608 6180993216 261544006343 523088012686 784632019029 1046176025372 1569264038058 2092352050744 2353896057087 3138528076116 4184704101488 4707792114174 6277056152232 8369408202976 9415584228348 12554112304464 16738816405952 18831168456696 25108224608928 37662336913392 50216449217856 75324673826784 150649347653568