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10640187264 = 273719208337
BaseRepresentation
bin10011110100011010…
…00101111110000000
31000110112101111221210
421322031011332000
5133242341443024
64515452050120
7524450046060
oct117215057600
930415344853
1010640187264
1145701211a3
12208b463940
131007516bc5
1472d1ab3a0
154241b8129
hex27a345f80

10640187264 has 128 divisors (see below), whose sum is σ = 34000761600. Its totient is φ = 2880036864.

The previous prime is 10640187247. The next prime is 10640187277. The reversal of 10640187264 is 46278104601.

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

It is a super-2 number, since 2×106401872642 (a number of 21 digits) contains 22 as substring.

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, 53097 + ... + 155240.

It is an arithmetic number, because the mean of its divisors is an integer number (265630950).

Almost surely, 210640187264 is an apocalyptic number.

10640187264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10640187264 is an abundant number, since it is smaller than the sum of its proper divisors (23360574336).

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

10640187264 is a wasteful number, since it uses less digits than its factorization.

10640187264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208380 (or 208368 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 10640187264 in words is "ten billion, six hundred forty million, one hundred eighty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 266 304 336 384 399 448 456 532 608 672 798 896 912 1064 1216 1344 1596 1824 2128 2432 2688 3192 3648 4256 6384 7296 8512 12768 17024 25536 51072 208337 416674 625011 833348 1250022 1458359 1666696 2500044 2916718 3333392 3958403 4375077 5000088 5833436 6666784 7916806 8750154 10000176 11666872 11875209 13333568 15833612 17500308 20000352 23333744 23750418 26667136 27708821 31667224 35000616 40000704 46667488 47500836 55417642 63334448 70001232 80001408 83126463 93334976 95001672 110835284 126668896 140002464 166252926 186669952 190003344 221670568 253337792 280004928 332505852 380006688 443341136 506675584 560009856 665011704 760013376 886682272 1330023408 1520026752 1773364544 2660046816 3546729088 5320093632 10640187264