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5025105504 = 2532231315791
BaseRepresentation
bin1001010111000010…
…10000011001100000
3110222012121210211200
410223201100121200
540242411334004
62150345241200
7235345456236
oct45341203140
913865553750
105025105504
1121495a5161
12b82a93200
1362110bb13
14359558956
151e6265239
hex12b850660

5025105504 has 144 divisors (see below), whose sum is σ = 15027876864. Its totient is φ = 1589702400.

The previous prime is 5025105493. The next prime is 5025105511. The reversal of 5025105504 is 4055015205.

5025105504 is a `hidden beast` number, since 50 + 2 + 5 + 105 + 504 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 864849 + ... + 870639.

It is an arithmetic number, because the mean of its divisors is an integer number (104360256).

Almost surely, 25025105504 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 5025105504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7513938432).

5025105504 is an abundant number, since it is smaller than the sum of its proper divisors (10002771360).

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

5025105504 is a wasteful number, since it uses less digits than its factorization.

5025105504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5961 (or 5950 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The square root of 5025105504 is about 70887.9785577216. The cubic root of 5025105504 is about 1712.8331570834.

The spelling of 5025105504 in words is "five billion, twenty-five million, one hundred five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 131 138 144 184 207 262 276 288 368 393 414 524 552 736 786 828 1048 1104 1179 1572 1656 2096 2208 2358 3013 3144 3312 4192 4716 5791 6026 6288 6624 9039 9432 11582 12052 12576 17373 18078 18864 23164 24104 27117 34746 36156 37728 46328 48208 52119 54234 69492 72312 92656 96416 104238 108468 133193 138984 144624 185312 208476 216936 266386 277968 289248 399579 416952 433872 532772 555936 758621 799158 833904 867744 1065544 1198737 1517242 1598316 1667808 2131088 2275863 2397474 3034484 3196632 4262176 4551726 4794948 6068968 6393264 6827589 9103452 9589896 12137936 12786528 13655178 17448283 18206904 19179792 24275872 27310356 34896566 36413808 38359584 52344849 54620712 69793132 72827616 104689698 109241424 139586264 157034547 209379396 218482848 279172528 314069094 418758792 558345056 628138188 837517584 1256276376 1675035168 2512552752 5025105504