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3125249136 = 243373113877
BaseRepresentation
bin1011101001000111…
…1000010001110000
322001210201002212000
42322101320101300
522400030433021
61234040534000
7140306115342
oct27221702160
98053632760
103125249136
111364137a29
12732781300
133aa628759
142190cb292
15134584b26
hexba478470

3125249136 has 160 divisors (see below), whose sum is σ = 9184441920. Its totient is φ = 1017225216.

The previous prime is 3125249093. The next prime is 3125249137. The reversal of 3125249136 is 6319425213.

3125249136 is a `hidden beast` number, since 3 + 12 + 524 + 91 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (38880) is a multiple of the sum of its prime factors (1080).

It is a self number, because there is not a number n which added to its sum of digits gives 3125249136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3125249137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3563130 + ... + 3564006.

It is an arithmetic number, because the mean of its divisors is an integer number (57402762).

Almost surely, 23125249136 is an apocalyptic number.

3125249136 is a gapful number since it is divisible by the number (36) 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 3125249136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4592220960).

3125249136 is an abundant number, since it is smaller than the sum of its proper divisors (6059192784).

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

3125249136 is a wasteful number, since it uses less digits than its factorization.

3125249136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1068 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 3125249136 is about 55903.9277332103. The cubic root of 3125249136 is about 1462.0477202384.

The spelling of 3125249136 in words is "three billion, one hundred twenty-five million, two hundred forty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 73 108 113 144 146 216 219 226 292 339 432 438 452 584 657 678 876 877 904 1017 1168 1314 1356 1752 1754 1808 1971 2034 2628 2631 2712 3051 3504 3508 3942 4068 5256 5262 5424 6102 7016 7884 7893 8136 8249 10512 10524 12204 14032 15768 15786 16272 16498 21048 23679 24408 24747 31536 31572 32996 42096 47358 48816 49494 63144 64021 65992 74241 94716 98988 99101 126288 128042 131984 148482 189432 192063 197976 198202 222723 256084 296964 297303 378864 384126 395952 396404 445446 512168 576189 593928 594606 768252 792808 890892 891909 1024336 1152378 1187856 1189212 1536504 1585616 1728567 1781784 1783818 2304756 2378424 2675727 3073008 3457134 3563568 3567636 4609512 4756848 5351454 6914268 7135272 7234373 9219024 10702908 13828536 14270544 14468746 21405816 21703119 27657072 28937492 42811632 43406238 57874984 65109357 86812476 115749968 130218714 173624952 195328071 260437428 347249904 390656142 520874856 781312284 1041749712 1562624568 3125249136