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20315416005632 = 2101115711487709
BaseRepresentation
bin1001001111010000011010…
…01001111000110000000000
32122221010122021022202112102
410213220031021320300000
510130321432444140012
6111112435005445532
74164511642600136
oct447501511706000
978833567282472
1020315416005632
1165227a0793560
12234131b8708a8
13b44973bb5267
145033b2953756
152536b5b302c2
hex127a0d278c00

20315416005632 has 88 divisors (see below), whose sum is σ = 44585089133520. Its totient is φ = 9175462133760.

The previous prime is 20315416005607. The next prime is 20315416005653. The reversal of 20315416005632 is 23650061451302.

It is a tau number, because it is divible by the number of its divisors (88).

It is a super-2 number, since 2×203154160056322 (a number of 27 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 3975407 + ... + 7512302.

Almost surely, 220315416005632 is an apocalyptic number.

20315416005632 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20315416005632 is an abundant number, since it is smaller than the sum of its proper divisors (24269673127888).

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

20315416005632 is a wasteful number, since it uses less digits than its factorization.

20315416005632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11487897 (or 11487879 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

Adding to 20315416005632 its reverse (23650061451302), we get a palindrome (43965477456934).

The spelling of 20315416005632 in words is "twenty trillion, three hundred fifteen billion, four hundred sixteen million, five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 157 176 256 314 352 512 628 704 1024 1256 1408 1727 2512 2816 3454 5024 5632 6908 10048 11264 13816 20096 27632 40192 55264 80384 110528 160768 221056 442112 884224 1768448 11487709 22975418 45950836 91901672 126364799 183803344 252729598 367606688 505459196 735213376 1010918392 1470426752 1803570313 2021836784 2940853504 3607140626 4043673568 5881707008 7214281252 8087347136 11763414016 14428562504 16174694272 19839273443 28857125008 32349388544 39678546886 57714250016 64698777088 79357093772 115428500032 129397554176 158714187544 230857000064 317428375088 461714000128 634856750176 923428000256 1269713500352 1846856000512 2539427000704 5078854001408 10157708002816 20315416005632