Search a number
-
+
161631787536 = 24321797680681
BaseRepresentation
bin1001011010001000000…
…0010101101000010000
3120110012101201112200100
42112202000111220100
510122010214200121
6202130322052400
714451246345162
oct2264200255020
9513171645610
10161631787536
1162602a262aa
12273aa1aa100
131231b35218b
147b74520932
15430ed6a026
hex25a2015a10

161631787536 has 120 divisors (see below), whose sum is σ = 483891388344. Its totient is φ = 50185175040.

The previous prime is 161631787523. The next prime is 161631787609. The reversal of 161631787536 is 635787136161.

161631787536 is a `hidden beast` number, since 1 + 6 + 1 + 6 + 31 + 78 + 7 + 536 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 82702256400 + 78929531136 = 287580^2 + 280944^2 .

It is a super-2 number, since 2×1616317875362 (a number of 23 digits) contains 22 as substring.

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, 102885 + ... + 577796.

Almost surely, 2161631787536 is an apocalyptic number.

161631787536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161631787536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241945694172).

161631787536 is an abundant number, since it is smaller than the sum of its proper divisors (322259600808).

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

161631787536 is a wasteful number, since it uses less digits than its factorization.

161631787536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680809 (or 680800 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The spelling of 161631787536 in words is "one hundred sixty-one billion, six hundred thirty-one million, seven hundred eighty-seven thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 97 102 136 144 153 194 204 272 291 306 388 408 582 612 776 816 873 1164 1224 1552 1649 1746 2328 2448 3298 3492 4656 4947 6596 6984 9894 13192 13968 14841 19788 26384 29682 39576 59364 79152 118728 237456 680681 1361362 2042043 2722724 4084086 5445448 6126129 8168172 10890896 11571577 12252258 16336344 23143154 24504516 32672688 34714731 46286308 49009032 66026057 69429462 92572616 98018064 104144193 132052114 138858924 185145232 198078171 208288386 264104228 277717848 396156342 416576772 528208456 555435696 594234513 792312684 833153544 1056416912 1122442969 1188469026 1584625368 1666307088 2244885938 2376938052 3169250736 3367328907 4489771876 4753876104 6734657814 8979543752 9507752208 10101986721 13469315628 17959087504 20203973442 26938631256 40407946884 53877262512 80815893768 161631787536