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187947180980 = 2251337103318913
BaseRepresentation
bin1010111100001010000…
…1100110001110110100
3122222010100210001001222
42233002201212032310
511034403434242410
6222201452205512
716402335451646
oct2570241461664
9588110701058
10187947180980
1172787313949
1230513169898
13149532530c0
14914d474896
154d5026d955
hex2bc28663b4

187947180980 has 96 divisors (see below), whose sum is σ = 436983306144. Its totient is φ = 67451387904.

The previous prime is 187947180979. The next prime is 187947181003. The reversal of 187947180980 is 89081749781.

It can be written as a sum of positive squares in 16 ways, for example, as 5578894864 + 182368286116 = 74692^2 + 427046^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9928004 + ... + 9946916.

It is an arithmetic number, because the mean of its divisors is an integer number (4551909439).

Almost surely, 2187947180980 is an apocalyptic number.

187947180980 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 187947180980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218491653072).

187947180980 is an abundant number, since it is smaller than the sum of its proper divisors (249036125164).

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

187947180980 is a wasteful number, since it uses less digits than its factorization.

187947180980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20005 (or 20003 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 62.

The spelling of 187947180980 in words is "one hundred eighty-seven billion, nine hundred forty-seven million, one hundred eighty thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 370 481 740 962 1033 1924 2066 2405 4132 4810 5165 9620 10330 13429 18913 20660 26858 37826 38221 53716 67145 75652 76442 94565 134290 152884 189130 191105 245869 268580 378260 382210 491738 496873 699781 764420 983476 993746 1229345 1399562 1987492 2458690 2484365 2799124 3498905 4917380 4968730 6997810 9097153 9937460 13995620 18194306 19537129 36388612 39074258 45485765 78148516 90971530 97685645 181943060 195371290 253982677 390742580 507965354 722873773 1015930708 1269913385 1445747546 2539826770 2891495092 3614368865 5079653540 7228737730 9397359049 14457475460 18794718098 37589436196 46986795245 93973590490 187947180980