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57081216640 = 275719670597
BaseRepresentation
bin110101001010010011…
…100011111010000000
312110100002101020200211
4311022103203322000
51413400242413030
642120040323504
74060345223140
oct651223437200
9173302336624
1057081216640
1122231949a08
12b090473594
1354c8b40a46
142a96d8c920
1517413a312a
hexd4a4e3e80

57081216640 has 128 divisors (see below), whose sum is σ = 164162390400. Its totient is φ = 18540638208.

The previous prime is 57081216593. The next prime is 57081216649. The reversal of 57081216640 is 4661218075.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×570812166402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 57081216593 and 57081216602.

It is not an unprimeable number, because it can be changed into a prime (57081216649) 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, 250179 + ... + 420418.

It is an arithmetic number, because the mean of its divisors is an integer number (1282518675).

Almost surely, 257081216640 is an apocalyptic number.

It is an amenable number.

57081216640 is an abundant number, since it is smaller than the sum of its proper divisors (107081173760).

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

57081216640 is a wasteful number, since it uses less digits than its factorization.

57081216640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670642 (or 670630 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 57081216640 in words is "fifty-seven billion, eighty-one million, two hundred sixteen thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 64 70 76 80 95 112 128 133 140 152 160 190 224 266 280 304 320 380 448 532 560 608 640 665 760 896 1064 1120 1216 1330 1520 2128 2240 2432 2660 3040 4256 4480 5320 6080 8512 10640 12160 17024 21280 42560 85120 670597 1341194 2682388 3352985 4694179 5364776 6705970 9388358 10729552 12741343 13411940 18776716 21459104 23470895 25482686 26823880 37553432 42918208 46941790 50965372 53647760 63706715 75106864 85836416 89189401 93883580 101930744 107295520 127413430 150213728 178378802 187767160 203861488 214591040 254826860 300427456 356757604 375534320 407722976 429182080 445947005 509653720 600854912 713515208 751068640 815445952 891894010 1019307440 1427030416 1502137280 1630891904 1783788020 2038614880 2854060832 3004274560 3567576040 4077229760 5708121664 7135152080 8154459520 11416243328 14270304160 28540608320 57081216640