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152106031760 = 24567241117751
BaseRepresentation
bin1000110110101000111…
…0011101101010010000
3112112121112100000022212
42031222032131222100
54443003121004020
6153513200051252
713663220636354
oct2155216355220
9475545300285
10152106031760
1159564986a71
1225590003b28
131146099c8b7
14750d36b464
153e53938cc5
hex236a39da90

152106031760 has 80 divisors (see below), whose sum is σ = 360417205632. Its totient is φ = 59685120000.

The previous prime is 152106031751. The next prime is 152106031787. The reversal of 152106031760 is 67130601251.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1232885 + ... + 1350635.

Almost surely, 2152106031760 is an apocalyptic number.

152106031760 is a gapful number since it is divisible by the number (10) 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 152106031760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180208602816).

152106031760 is an abundant number, since it is smaller than the sum of its proper divisors (208311173872).

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

152106031760 is a wasteful number, since it uses less digits than its factorization.

152106031760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118072 (or 118066 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The spelling of 152106031760 in words is "one hundred fifty-two billion, one hundred six million, thirty-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 241 268 335 482 536 670 964 1072 1205 1340 1928 2410 2680 3856 4820 5360 9640 16147 19280 32294 64588 80735 117751 129176 161470 235502 258352 322940 471004 588755 645880 942008 1177510 1291760 1884016 2355020 4710040 7889317 9420080 15778634 28377991 31557268 39446585 56755982 63114536 78893170 113511964 126229072 141889955 157786340 227023928 283779910 315572680 454047856 567559820 631145360 1135119640 1901325397 2270239280 3802650794 7605301588 9506626985 15210603176 19013253970 30421206352 38026507940 76053015880 152106031760