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147922031456 = 25172317966047
BaseRepresentation
bin1000100111000011010…
…1110001001101100000
3112010210221101202220122
42021300311301031200
54410421020001311
6151542054255412
713454434343633
oct2116065611540
9463727352818
10147922031456
1157808148681
1224802957568
1310c44c06584
1472337dbc1a
153cab46a0db
hex2270d71360

147922031456 has 96 divisors (see below), whose sum is σ = 323561226240. Its totient is φ = 66210850816.

The previous prime is 147922031447. The next prime is 147922031459. The reversal of 147922031456 is 654130229741.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147922031459) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2206625 + ... + 2272671.

It is an arithmetic number, because the mean of its divisors is an integer number (3370429440).

Almost surely, 2147922031456 is an apocalyptic number.

147922031456 is a gapful number since it is divisible by the number (16) 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 147922031456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161780613120).

147922031456 is an abundant number, since it is smaller than the sum of its proper divisors (175639194784).

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

147922031456 is a wasteful number, since it uses less digits than its factorization.

147922031456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66276 (or 66268 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 147922031456 in words is "one hundred forty-seven billion, nine hundred twenty-two million, thirty-one thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 17 23 32 34 46 68 92 136 179 184 272 358 368 391 544 716 736 782 1432 1564 2864 3043 3128 4117 5728 6086 6256 8234 12172 12512 16468 24344 32936 48688 65872 66047 69989 97376 131744 132094 139978 264188 279956 528376 559912 1056752 1119824 1122799 1519081 2113504 2239648 2245598 3038162 4491196 6076324 8982392 11822413 12152648 17964784 23644826 24305296 25824377 35929568 47289652 48610592 51648754 94579304 103297508 189158608 200981021 206595016 271915499 378317216 401962042 413190032 543830998 803924084 826380064 1087661996 1607848168 2175323992 3215696336 4350647984 4622563483 6431392672 8701295968 9245126966 18490253932 36980507864 73961015728 147922031456