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5033125152 = 2532118917851
BaseRepresentation
bin1001010111111111…
…10110010100100000
3110222202201020201200
410223333312110200
540301440001102
62151233201200
7235503600156
oct45377662440
913882636650
105033125152
112153082470
12b85700200
13622989183
1435a6453d6
151e6ceb51c
hex12bff6520

5033125152 has 144 divisors (see below), whose sum is σ = 15790451040. Its totient is φ = 1507968000.

The previous prime is 5033125147. The next prime is 5033125169. The reversal of 5033125152 is 2515213305.

It is a happy number.

5033125152 is a `hidden beast` number, since 503 + 3 + 1 + 2 + 5 + 152 = 666.

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

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, 273027 + ... + 290877.

It is an arithmetic number, because the mean of its divisors is an integer number (109655910).

Almost surely, 25033125152 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 5033125152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7895225520).

5033125152 is an abundant number, since it is smaller than the sum of its proper divisors (10757325888).

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

5033125152 is a wasteful number, since it uses less digits than its factorization.

5033125152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17967 (or 17956 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 5033125152 is about 70944.5216489617. The cubic root of 5033125152 is about 1713.7438522668.

Adding to 5033125152 its reverse (2515213305), we get a palindrome (7548338457).

The spelling of 5033125152 in words is "five billion, thirty-three million, one hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 89 96 99 132 144 176 178 198 264 267 288 352 356 396 528 534 712 792 801 979 1056 1068 1424 1584 1602 1958 2136 2848 2937 3168 3204 3916 4272 5874 6408 7832 8544 8811 11748 12816 15664 17622 17851 23496 25632 31328 35244 35702 46992 53553 70488 71404 93984 107106 140976 142808 160659 196361 214212 281952 285616 321318 392722 428424 571232 589083 642636 785444 856848 1178166 1285272 1570888 1588739 1713696 1767249 2356332 2570544 3141776 3177478 3534498 4712664 4766217 5141088 6283552 6354956 7068996 9425328 9532434 12709912 14137992 14298651 17476129 18850656 19064868 25419824 28275984 28597302 34952258 38129736 50839648 52428387 56551968 57194604 69904516 76259472 104856774 114389208 139809032 152518944 157285161 209713548 228778416 279618064 314570322 419427096 457556832 559236128 629140644 838854192 1258281288 1677708384 2516562576 5033125152