Search a number
-
+
87675938741376 = 2732226733571939
BaseRepresentation
bin10011111011110110100101…
…001011110001110010000000
3102111102201220220210211000100
4103323312211023301302000
542442440310304211001
6510245434211122400
724316243331645166
oct2373664513616200
9374381826724010
1087675938741376
1125a3317a792377
129a002265a3400
1339bca61a3062b
1417917766ab236
15a209bbb4d586
hex4fbda52f1c80

87675938741376 has 96 divisors (see below), whose sum is σ = 252407945134800. Its totient is φ = 29212420419072.

The previous prime is 87675938741359. The next prime is 87675938741393. The reversal of 87675938741376 is 67314783957678.

87675938741376 is a `hidden beast` number, since 8 + 7 + 6 + 7 + 59 + 3 + 87 + 413 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (87675938741359) and next prime (87675938741393).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 87675938741295 and 87675938741304.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14174386 + ... + 19397553.

Almost surely, 287675938741376 is an apocalyptic number.

It is an amenable number.

87675938741376 is an abundant number, since it is smaller than the sum of its proper divisors (164732006393424).

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

87675938741376 is a wasteful number, since it uses less digits than its factorization.

87675938741376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33574226 (or 33574211 counting only the distinct ones).

The product of its digits is 8961684480, while the sum is 81.

The spelling of 87675938741376 in words is "eighty-seven trillion, six hundred seventy-five billion, nine hundred thirty-eight million, seven hundred forty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 2267 4534 6801 9068 13602 18136 20403 27204 36272 40806 54408 72544 81612 108816 145088 163224 217632 290176 326448 435264 652896 870528 1305792 2611584 33571939 67143878 100715817 134287756 201431634 268575512 302147451 402863268 537151024 604294902 805726536 1074302048 1208589804 1611453072 2148604096 2417179608 3222906144 4297208192 4834359216 6445812288 9668718432 12891624576 19337436864 38674873728 76107585713 152215171426 228322757139 304430342852 456645514278 608860685704 684968271417 913291028556 1217721371408 1369936542834 1826582057112 2435442742816 2739873085668 3653164114224 4870885485632 5479746171336 7306328228448 9741770971264 10959492342672 14612656456896 21918984685344 29225312913792 43837969370688 87675938741376