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87934030680 = 233517220719531
BaseRepresentation
bin101000111100101000…
…1101101001101011000
322101222021101121000010
41101321101231031120
52420042102440210
6104221335241520
76232041633246
oct1217121551530
9271867347003
1087934030680
1134324516831
1215060b192a0
1383a4abac22
14438278d796
152449cd7920
hex147946d358

87934030680 has 128 divisors (see below), whose sum is σ = 279460730880. Its totient is φ = 22058588160.

The previous prime is 87934030669. The next prime is 87934030757. The reversal of 87934030680 is 8603043978.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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, 4492515 + ... + 4512045.

It is an arithmetic number, because the mean of its divisors is an integer number (2183286960).

Almost surely, 287934030680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87934030680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139730365440).

87934030680 is an abundant number, since it is smaller than the sum of its proper divisors (191526700200).

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

87934030680 is a wasteful number, since it uses less digits than its factorization.

87934030680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21769 (or 21765 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 87934030680 in words is "eighty-seven billion, nine hundred thirty-four million, thirty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 2207 4414 6621 8828 11035 13242 17656 19531 22070 26484 33105 37519 39062 44140 52968 58593 66210 75038 78124 88280 97655 112557 117186 132420 150076 156248 187595 195310 225114 234372 264840 292965 300152 332027 375190 390620 450228 468744 562785 585930 664054 750380 781240 900456 996081 1125570 1171860 1328108 1500760 1660135 1992162 2251140 2343720 2656216 3320270 3984324 4502280 4980405 6640540 7968648 9960810 13281080 19921620 39843240 43104917 86209834 129314751 172419668 215524585 258629502 344839336 431049170 517259004 646573755 732783589 862098340 1034518008 1293147510 1465567178 1724196680 2198350767 2586295020 2931134356 3663917945 4396701534 5172590040 5862268712 7327835890 8793403068 10991753835 14655671780 17586806136 21983507670 29311343560 43967015340 87934030680