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159937331190 = 235713167350809
BaseRepresentation
bin1001010011110100000…
…0011111111111110110
3120021211022022020112220
42110331000133333312
510110022424044230
6201250232023210
714361252612210
oct2247500377766
9507738266486
10159937331190
11619134aa15a
1226bb6831b06
131210b296ca0
147a5347d5b0
15426120dd10
hex253d01fff6

159937331190 has 128 divisors (see below), whose sum is σ = 475260549120. Its totient is φ = 33542857728.

The previous prime is 159937331189. The next prime is 159937331209. The reversal of 159937331190 is 91133739951.

It is a super-2 number, since 2×1599373311902 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 280506 + ... + 631314.

It is an arithmetic number, because the mean of its divisors is an integer number (3712973040).

Almost surely, 2159937331190 is an apocalyptic number.

159937331190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 159937331190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237630274560).

159937331190 is an abundant number, since it is smaller than the sum of its proper divisors (315323217930).

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

159937331190 is a wasteful number, since it uses less digits than its factorization.

159937331190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351006.

The product of its (nonzero) digits is 688905, while the sum is 51.

The spelling of 159937331190 in words is "one hundred fifty-nine billion, nine hundred thirty-seven million, three hundred thirty-one thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 167 182 195 210 273 334 390 455 501 546 835 910 1002 1169 1365 1670 2171 2338 2505 2730 3507 4342 5010 5845 6513 7014 10855 11690 13026 15197 17535 21710 30394 32565 35070 45591 65130 75985 91182 151970 227955 350809 455910 701618 1052427 1754045 2104854 2455663 3508090 4560517 4911326 5262135 7366989 9121034 10524270 12278315 13681551 14733978 22802585 24556630 27363102 31923619 36834945 45605170 58585103 63847238 68407755 73669890 95770857 117170206 136815510 159618095 175755309 191541714 292925515 319236190 351510618 410095721 478854285 585851030 761606339 820191442 878776545 957708570 1230287163 1523212678 1757553090 2050478605 2284819017 2460574326 3808031695 4100957210 4569638034 5331244373 6151435815 7616063390 10662488746 11424095085 12302871630 15993733119 22848190170 26656221865 31987466238 53312443730 79968665595 159937331190