Search a number
-
+
6168461568 = 28319795351
BaseRepresentation
bin1011011111010101…
…10100000100000000
3120220220001022111120
411233222310010000
5100113111232233
62500031312240
7305601025653
oct55752640400
916826038446
106168461568
112685a32525
12124197b680
13773c5ca79
1442734189a
152618124b3
hex16fab4100

6168461568 has 144 divisors (see below), whose sum is σ = 17503180800. Its totient is φ = 1922918400.

The previous prime is 6168461567. The next prime is 6168461569. The reversal of 6168461568 is 8651648616.

It is an interprime number because it is at equal distance from previous prime (6168461567) and next prime (6168461569).

It is a self number, because there is not a number n which added to its sum of digits gives 6168461568.

It is not an unprimeable number, because it can be changed into a prime (6168461567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1150093 + ... + 1155443.

Almost surely, 26168461568 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 6168461568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8751590400).

6168461568 is an abundant number, since it is smaller than the sum of its proper divisors (11334719232).

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

6168461568 is a wasteful number, since it uses less digits than its factorization.

6168461568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5468 (or 5454 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 51.

The square root of 6168461568 is about 78539.5541622182. The cubic root of 6168461568 is about 1833.9702555998.

The spelling of 6168461568 in words is "six billion, one hundred sixty-eight million, four hundred sixty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 79 96 114 128 152 158 192 228 237 256 304 316 384 456 474 608 632 768 912 948 1216 1264 1501 1824 1896 2432 2528 3002 3648 3792 4503 4864 5056 5351 6004 7296 7584 9006 10112 10702 12008 14592 15168 16053 18012 20224 21404 24016 30336 32106 36024 42808 48032 60672 64212 72048 85616 96064 101669 128424 144096 171232 192128 203338 256848 288192 305007 342464 384256 406676 422729 513696 576384 610014 684928 813352 845458 1027392 1152768 1220028 1268187 1369856 1626704 1690916 2054784 2440056 2536374 3253408 3381832 4109568 4880112 5072748 6506816 6763664 8031851 9760224 10145496 13013632 13527328 16063702 19520448 20290992 24095553 26027264 27054656 32127404 39040896 40581984 48191106 54109312 64254808 78081792 81163968 96382212 108218624 128509616 162327936 192764424 257019232 324655872 385528848 514038464 771057696 1028076928 1542115392 2056153856 3084230784 6168461568