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27379344139680 = 2535134387715407
BaseRepresentation
bin1100011100110110000000…
…00101001110010110100000
310120221102212120100102120010
412032123000011032112200
512042040344044432210
6134121521433044520
75524043446204041
oct616330005162640
9116842776312503
1027379344139680
1187a6572a97135
1230a2372b56740
131237b26a19530
146a924b2068c8
153272ed85d920
hex18e6c014e5a0

27379344139680 has 96 divisors (see below), whose sum is σ = 92879159756544. Its totient is φ = 6739530863616.

The previous prime is 27379344139663. The next prime is 27379344139681. The reversal of 27379344139680 is 8693144397372.

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

It is not an unprimeable number, because it can be changed into a prime (27379344139681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2193851464 + ... + 2193863943.

It is an arithmetic number, because the mean of its divisors is an integer number (967491247464).

Almost surely, 227379344139680 is an apocalyptic number.

27379344139680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27379344139680 is an abundant number, since it is smaller than the sum of its proper divisors (65499815616864).

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

27379344139680 is a wasteful number, since it uses less digits than its factorization.

27379344139680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4387715438 (or 4387715430 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 66.

The spelling of 27379344139680 in words is "twenty-seven trillion, three hundred seventy-nine billion, three hundred forty-four million, one hundred thirty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 4387715407 8775430814 13163146221 17550861628 21938577035 26326292442 35101723256 43877154070 52652584884 57040300291 65815731105 70203446512 87754308140 105305169768 114080600582 131631462210 140406893024 171120900873 175508616280 210610339536 228161201164 263262924420 285201501455 342241801746 351017232560 421220679072 456322402328 526525848840 570403002910 684483603492 702034465120 855604504365 912644804656 1053051697680 1140806005820 1368967206984 1711209008730 1825289609312 2106103395360 2281612011640 2737934413968 3422418017460 4563224023280 5475868827936 6844836034920 9126448046560 13689672069840 27379344139680