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5257943136 = 2532291793517
BaseRepresentation
bin1001110010110010…
…11101100001100000
3111120102202012000200
410321121131201200
541232013140021
62225423545200
7244203531165
oct47131354140
914512665020
105257943136
112258a76556
121028a5b200
1365a422874
1437c44806c
1520b909126
hex13965d860

5257943136 has 144 divisors (see below), whose sum is σ = 15558706800. Its totient is φ = 1682279424.

The previous prime is 5257943123. The next prime is 5257943137. The reversal of 5257943136 is 6313497525.

5257943136 is a `hidden beast` number, since 5 + 2 + 579 + 43 + 1 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 5257943091 and 5257943100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5257943137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1493250 + ... + 1496766.

It is an arithmetic number, because the mean of its divisors is an integer number (108046575).

Almost surely, 25257943136 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 5257943136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7779353400).

5257943136 is an abundant number, since it is smaller than the sum of its proper divisors (10300763664).

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

5257943136 is a wasteful number, since it uses less digits than its factorization.

5257943136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3741 (or 3730 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 5257943136 is about 72511.6758598227. The cubic root of 5257943136 is about 1738.8894062321.

The spelling of 5257943136 in words is "five billion, two hundred fifty-seven million, nine hundred forty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 179 232 261 288 348 358 464 522 537 696 716 928 1044 1074 1392 1432 1611 2088 2148 2784 2864 3222 3517 4176 4296 5191 5728 6444 7034 8352 8592 10382 10551 12888 14068 15573 17184 20764 21102 25776 28136 31146 31653 41528 42204 46719 51552 56272 62292 63306 83056 84408 93438 101993 112544 124584 126612 166112 168816 186876 203986 249168 253224 305979 337632 373752 407972 498336 506448 611958 629543 747504 815944 917937 1012896 1223916 1259086 1495008 1631888 1835874 1888629 2447832 2518172 3263776 3671748 3777258 4895664 5036344 5665887 7343496 7554516 9791328 10072688 11331774 14686992 15109032 18256747 20145376 22663548 29373984 30218064 36513494 45327096 54770241 60436128 73026988 90654192 109540482 146053976 164310723 181308384 219080964 292107952 328621446 438161928 584215904 657242892 876323856 1314485784 1752647712 2628971568 5257943136