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2157945174 = 2327117121929
BaseRepresentation
bin1000000010011111…
…1010000101010110
312120101112222021100
42000213322011112
513404413221144
6554044130530
7104322142230
oct20047720526
95511488240
102157945174
11a08116170
12502836a46
132850c8748
14166851250
15c96b1269
hex809fa156

2157945174 has 96 divisors (see below), whose sum is σ = 5911626240. Its totient is φ = 552585600.

The previous prime is 2157945161. The next prime is 2157945193. The reversal of 2157945174 is 4715497512.

2157945174 is a `hidden beast` number, since 2 + 1 + 579 + 4 + 5 + 1 + 74 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87442 + ... + 109370.

It is an arithmetic number, because the mean of its divisors is an integer number (61579440).

Almost surely, 22157945174 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2157945174, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2955813120).

2157945174 is an abundant number, since it is smaller than the sum of its proper divisors (3753681066).

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

2157945174 is a wasteful number, since it uses less digits than its factorization.

2157945174 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22026 (or 22023 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The square root of 2157945174 is about 46453.6884864916. The cubic root of 2157945174 is about 1292.2507776331.

The spelling of 2157945174 in words is "two billion, one hundred fifty-seven million, nine hundred forty-five thousand, one hundred seventy-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 71 77 99 126 142 154 198 213 231 426 462 497 639 693 781 994 1278 1386 1491 1562 2343 2982 4473 4686 5467 7029 8946 10934 14058 16401 21929 32802 43858 49203 65787 98406 131574 153503 197361 241219 307006 394722 460509 482438 723657 921018 1381527 1447314 1556959 1688533 2170971 2763054 3113918 3377066 4341942 4670877 5065599 9341754 10131198 10898713 14012631 15196797 17126549 21797426 28025262 30393594 32696139 34253098 51379647 65392278 98088417 102759294 119885843 154138941 196176834 239771686 308277882 359657529 719315058 1078972587 2157945174