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5817887152 = 2471121725253
BaseRepresentation
bin1010110101100010…
…11110100110110000
3120000110101021210221
411122301132212300
543403334342102
62401145302424
7264113140060
oct53261364660
916013337727
105817887152
112516055800
121164494a14
1371943529c
143d29653a0
15240b63637
hex15ac5e9b0

5817887152 has 120 divisors (see below), whose sum is σ = 14993602848. Its totient is φ = 2133288960.

The previous prime is 5817887137. The next prime is 5817887161. The reversal of 5817887152 is 2517887185.

It is a super-2 number, since 2×58178871522 = 67695621826813342208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5817887152.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217758 + ... + 243010.

Almost surely, 25817887152 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 5817887152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7496801424).

5817887152 is an abundant number, since it is smaller than the sum of its proper divisors (9175715696).

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

5817887152 is a wasteful number, since it uses less digits than its factorization.

5817887152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25307 (or 25290 counting only the distinct ones).

The product of its digits is 1254400, while the sum is 52.

The square root of 5817887152 is about 76275.0755620734. The cubic root of 5817887152 is about 1798.5468881465.

The spelling of 5817887152 in words is "five billion, eight hundred seventeen million, eight hundred eighty-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 34 44 56 68 77 88 112 119 121 136 154 176 187 238 242 272 308 374 476 484 616 748 847 952 968 1232 1309 1496 1694 1904 1936 2057 2618 2992 3388 4114 5236 6776 8228 10472 13552 14399 16456 20944 25253 28798 32912 50506 57596 101012 115192 176771 202024 230384 277783 353542 404048 429301 555566 707084 858602 1111132 1414168 1717204 1944481 2222264 2828336 3005107 3055613 3434408 3888962 4444528 4722311 6010214 6111226 6868816 7777924 9444622 12020428 12222452 15555848 18889244 21389291 24040856 24444904 31111696 33056177 37778488 42778582 48081712 48889808 51945421 66112354 75556976 85557164 103890842 132224708 171114328 207781684 264449416 342228656 363617947 415563368 528898832 727235894 831126736 1454471788 2908943576 5817887152