Search a number
-
+
5168060928 = 29331721991
BaseRepresentation
bin1001101000000101…
…00101101000000000
3111100011121200211000
410310002211220000
541041010422203
62212453252000
7242032536012
oct46402455000
914304550730
105168060928
112212265738
121002934000
13644912424
1437052c1b2
15203aa24a3
hex1340a5a00

5168060928 has 160 divisors (see below), whose sum is σ = 16198427520. Its totient is φ = 1621278720.

The previous prime is 5168060897. The next prime is 5168060939. The reversal of 5168060928 is 8290608615.

5168060928 is a `hidden beast` number, since 5 + 16 + 8 + 0 + 609 + 28 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224013 + ... + 246003.

It is an arithmetic number, because the mean of its divisors is an integer number (101240172).

Almost surely, 25168060928 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 5168060928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8099213760).

5168060928 is an abundant number, since it is smaller than the sum of its proper divisors (11030366592).

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

5168060928 is a wasteful number, since it uses less digits than its factorization.

5168060928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22035 (or 22013 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 5168060928 is about 71889.2267867724. The cubic root of 5168060928 is about 1728.9238886637.

The spelling of 5168060928 in words is "five billion, one hundred sixty-eight million, sixty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 256 272 288 306 384 408 432 459 512 544 576 612 768 816 864 918 1088 1152 1224 1536 1632 1728 1836 2176 2304 2448 3264 3456 3672 4352 4608 4896 6528 6912 7344 8704 9792 13056 13824 14688 19584 21991 26112 29376 39168 43982 58752 65973 78336 87964 117504 131946 175928 197919 235008 263892 351856 373847 395838 527784 593757 703712 747694 791676 1055568 1121541 1187514 1407424 1495388 1583352 2111136 2243082 2375028 2814848 2990776 3166704 3364623 4222272 4486164 4750056 5629696 5981552 6333408 6729246 8444544 8972328 9500112 10093869 11259392 11963104 12666816 13458492 16889088 17944656 19000224 20187738 23926208 25333632 26916984 33778176 35889312 38000448 40375476 47852416 50667264 53833968 71778624 76000896 80750952 95704832 101334528 107667936 143557248 152001792 161501904 191409664 215335872 287114496 304003584 323003808 430671744 574228992 646007616 861343488 1292015232 1722686976 2584030464 5168060928