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10057552640 = 2852929343
BaseRepresentation
bin10010101110111101…
…00001001100000000
3221221221001121111122
421113132201030000
5131044213141030
64342000131412
7504143533622
oct112736411400
927857047448
1010057552640
1142a1254183
121b48306b68
13c438bb4a5
146b5a64c12
153dce7a8e5
hex2577a1300

10057552640 has 108 divisors (see below), whose sum is σ = 24953021184. Its totient is φ = 3883880448.

The previous prime is 10057552627. The next prime is 10057552649. The reversal of 10057552640 is 4625575001.

It is a self number, because there is not a number n which added to its sum of digits gives 10057552640.

It is not an unprimeable number, because it can be changed into a prime (10057552649) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1071809 + ... + 1081151.

Almost surely, 210057552640 is an apocalyptic number.

10057552640 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 10057552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12476510592).

10057552640 is an abundant number, since it is smaller than the sum of its proper divisors (14895468544).

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

10057552640 is an frugal number, since it uses more digits than its factorization.

10057552640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9422 (or 9379 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 35.

The spelling of 10057552640 in words is "ten billion, fifty-seven million, five hundred fifty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 256 290 320 464 580 640 841 928 1160 1280 1682 1856 2320 3364 3712 4205 4640 6728 7424 8410 9280 9343 13456 16820 18560 18686 26912 33640 37120 37372 46715 53824 67280 74744 93430 107648 134560 149488 186860 215296 269120 270947 298976 373720 538240 541894 597952 747440 1076480 1083788 1195904 1354735 1494880 2167576 2391808 2709470 2989760 4335152 5418940 5979520 7857463 8670304 10837880 11959040 15714926 17340608 21675760 31429852 34681216 39287315 43351520 62859704 69362432 78574630 86703040 125719408 157149260 173406080 251438816 314298520 346812160 502877632 628597040 1005755264 1257194080 2011510528 2514388160 5028776320 10057552640