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101371674704864 = 25191393793164893
BaseRepresentation
bin10111000011001001101110…
…101010010011101111100000
3111021221001000022021020120112
4113003021232222103233200
5101241333142211023424
6555333300544030452
730231601412564024
oct2703115652235740
9437831008236515
10101371674704864
112a333538686a43
12b452614902428
134474400618945
141b065b5592384
15babd9ad5e60e
hex5c326ea93be0

101371674704864 has 96 divisors (see below), whose sum is σ = 212149174608000. Its totient is φ = 47546906770944.

The previous prime is 101371674704843. The next prime is 101371674704933. The reversal of 101371674704864 is 468407476173101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30447602 + ... + 33612494.

It is an arithmetic number, because the mean of its divisors is an integer number (2209887235500).

Almost surely, 2101371674704864 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 101371674704864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106074587304000).

101371674704864 is an abundant number, since it is smaller than the sum of its proper divisors (110777499903136).

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

101371674704864 is a wasteful number, since it uses less digits than its factorization.

101371674704864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3165440 (or 3165432 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 59.

The spelling of 101371674704864 in words is "one hundred one trillion, three hundred seventy-one billion, six hundred seventy-four million, seven hundred four thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 76 139 152 278 304 379 556 608 758 1112 1516 2224 2641 3032 4448 5282 6064 7201 10564 12128 14402 21128 28804 42256 52681 57608 84512 105362 115216 210724 230432 421448 842896 1000939 1685792 2001878 3164893 4003756 6329786 8007512 12659572 16015024 25319144 32030048 50638288 60132967 101276576 120265934 240531868 439920127 481063736 879840254 962127472 1199494447 1759680508 1924254944 2398988894 3519361016 4797977788 7038722032 8358482413 9595955576 14077444064 16716964826 19191911152 22790394493 33433929652 38383822304 45580788986 66867859304 91161577972 133735718608 166729728133 182323155944 267471437216 333459456266 364646311888 666918912532 729292623776 1333837825064 2667675650128 3167864834527 5335351300256 6335729669054 12671459338108 25342918676216 50685837352432 101371674704864