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5161120632 = 2333196311993
BaseRepresentation
bin1001100111010000…
…00111001101111000
3111022200120002112000
410303220013031320
541032221330012
62212044421000
7241616541633
oct46350071570
914280502460
105161120632
112209355358
121000547760
13643352445
1436d642c1a
15203180ddc
hex133a07378

5161120632 has 128 divisors (see below), whose sum is σ = 15122496000. Its totient is φ = 1626428160.

The previous prime is 5161120589. The next prime is 5161120649. The reversal of 5161120632 is 2360211615.

5161120632 is a `hidden beast` number, since 5 + 1 + 6 + 1 + 1 + 20 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5161120596 and 5161120605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2588628 + ... + 2590620.

It is an arithmetic number, because the mean of its divisors is an integer number (118144500).

Almost surely, 25161120632 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 5161120632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7561248000).

5161120632 is an abundant number, since it is smaller than the sum of its proper divisors (9961375368).

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

5161120632 is a wasteful number, since it uses less digits than its factorization.

5161120632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2658 (or 2648 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5161120632 is about 71840.9398045432. The cubic root of 5161120632 is about 1728.1496060672.

The spelling of 5161120632 in words is "five billion, one hundred sixty-one million, one hundred twenty thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 631 684 1026 1262 1368 1893 1993 2052 2524 3786 3986 4104 5048 5679 5979 7572 7972 11358 11958 11989 15144 15944 17037 17937 22716 23916 23978 34074 35874 35967 37867 45432 47832 47956 53811 68148 71748 71934 75734 95912 107622 107901 113601 136296 143496 143868 151468 215244 215802 227202 287736 302936 323703 340803 430488 431604 454404 647406 681606 863208 908808 1022409 1257583 1294812 1363212 2044818 2515166 2589624 2726424 3772749 4089636 5030332 7545498 8179272 10060664 11318247 15090996 22636494 23894077 30181992 33954741 45272988 47788154 67909482 71682231 90545976 95576308 135818964 143364462 191152616 215046693 271637928 286728924 430093386 573457848 645140079 860186772 1290280158 1720373544 2580560316 5161120632