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87671686146 = 23114373423179
BaseRepresentation
bin101000110100110100…
…0111100010000000010
322101021222202002221220
41101221220330100002
52414022422424041
6104135324255510
76222405015342
oct1215150742002
9271258662856
1087671686146
11341aa421470
1214ba90a1596
138362645785
1443599bcd22
152431c65d66
hex1469a3c402

87671686146 has 64 divisors (see below), whose sum is σ = 198413867520. Its totient is φ = 25593805440.

The previous prime is 87671686133. The next prime is 87671686159. The reversal of 87671686146 is 64168617678.

It is an interprime number because it is at equal distance from previous prime (87671686133) and next prime (87671686159).

It is a self number, because there is not a number n which added to its sum of digits gives 87671686146.

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, 4416 + ... + 418763.

It is an arithmetic number, because the mean of its divisors is an integer number (3100216680).

Almost surely, 287671686146 is an apocalyptic number.

87671686146 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 87671686146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99206933760).

87671686146 is an abundant number, since it is smaller than the sum of its proper divisors (110742181374).

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

87671686146 is a wasteful number, since it uses less digits than its factorization.

87671686146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423311.

The product of its digits is 16257024, while the sum is 60.

The spelling of 87671686146 in words is "eighty-seven billion, six hundred seventy-one million, six hundred eighty-six thousand, one hundred forty-six".

Divisors: 1 2 3 6 11 22 33 43 66 73 86 129 146 219 258 438 473 803 946 1419 1606 2409 2838 3139 4818 6278 9417 18834 34529 69058 103587 207174 423179 846358 1269537 2539074 4654969 9309938 13964907 18196697 27929814 30892067 36393394 54590091 61784134 92676201 109180182 185352402 200163667 339812737 400327334 600491001 679625474 1019438211 1200982002 1328358881 2038876422 2656717762 3985076643 7970153286 14611947691 29223895382 43835843073 87671686146