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10604642860480 = 265193834554007
BaseRepresentation
bin1001101001010001010111…
…1110000111110111000000
31101112210102210110001120011
42122110111332013313000
52342221302033013410
634315412231554304
72143105636015564
oct232242576076700
941483383401504
1010604642860480
113419449483399
12123330152b994
135bc02395b846
142893a5c696a4
15135cb76bd18a
hex9a515f87dc0

10604642860480 has 112 divisors (see below), whose sum is σ = 26650783457280. Its totient is φ = 4008108192768.

The previous prime is 10604642860369. The next prime is 10604642860489. The reversal of 10604642860480 is 8406824640601.

10604642860480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106046428604802 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10604642860489) 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, 51637 + ... + 4605643.

Almost surely, 210604642860480 is an apocalyptic number.

10604642860480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10604642860480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13325391728640).

10604642860480 is an abundant number, since it is smaller than the sum of its proper divisors (16046140596800).

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

10604642860480 is a wasteful number, since it uses less digits than its factorization.

10604642860480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4554426 (or 4554416 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 49.

The spelling of 10604642860480 in words is "ten trillion, six hundred four billion, six hundred forty-two million, eight hundred sixty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 380 383 608 760 766 1216 1520 1532 1915 3040 3064 3830 6080 6128 7277 7660 12256 14554 15320 24512 29108 30640 36385 58216 61280 72770 116432 122560 145540 232864 291080 465728 582160 1164320 2328640 4554007 9108014 18216028 22770035 36432056 45540070 72864112 86526133 91080140 145728224 173052266 182160280 291456448 346104532 364320560 432630665 692209064 728641120 865261330 1384418128 1457282240 1730522660 1744184681 2768836256 3461045320 3488369362 5537672512 6922090640 6976738724 8720923405 13844181280 13953477448 17441846810 27688362560 27906954896 33139508939 34883693620 55813909792 66279017878 69767387240 111627819584 132558035756 139534774480 165697544695 265116071512 279069548960 331395089390 530232143024 558139097920 662790178780 1060464286048 1325580357560 2120928572096 2651160715120 5302321430240 10604642860480