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187431106968 = 2332741084219
BaseRepresentation
bin1010111010001111000…
…0111011100110011000
3122220210101200202121200
42232203300323212120
511032324330410333
6222034335034200
716353501060000
oct2564360734630
9586711622550
10187431106968
1172541a788a6
12303aa36b960
13148a0360871
149100ad7000
154d1ecccc13
hex2ba3c3b998

187431106968 has 120 divisors (see below), whose sum is σ = 592195542900. Its totient is φ = 53551695456.

The previous prime is 187431106939. The next prime is 187431106987. The reversal of 187431106968 is 869601134781.

187431106968 is a `hidden beast` number, since 1 + 87 + 431 + 10 + 69 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 369238 + ... + 714981.

Almost surely, 2187431106968 is an apocalyptic number.

187431106968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

187431106968 is an abundant number, since it is smaller than the sum of its proper divisors (404764435932).

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

187431106968 is a wasteful number, since it uses less digits than its factorization.

187431106968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084259 (or 1084231 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 187431106968 in words is "one hundred eighty-seven billion, four hundred thirty-one million, one hundred six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 343 392 441 504 588 686 882 1029 1176 1372 1764 2058 2401 2744 3087 3528 4116 4802 6174 7203 8232 9604 12348 14406 19208 21609 24696 28812 43218 57624 86436 172872 1084219 2168438 3252657 4336876 6505314 7589533 8673752 9757971 13010628 15179066 19515942 22768599 26021256 30358132 39031884 45537198 53126731 60716264 68305797 78063768 91074396 106253462 136611594 159380193 182148792 212506924 273223188 318760386 371887117 425013848 478140579 546446376 637520772 743774234 956281158 1115661351 1275041544 1487548468 1912562316 2231322702 2603209819 2975096936 3346984053 3825124632 4462645404 5206419638 6693968106 7809629457 8925290808 10412839276 13387936212 15619258914 20825678552 23428888371 26775872424 31238517828 46857776742 62477035656 93715553484 187431106968