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10117238784 = 21235691447
BaseRepresentation
bin10010110110000100…
…01101000000000000
3222010002100222111120
421123002031000000
5131210003120114
64351531312240
7505500052662
oct113302150000
928102328446
1010117238784
114321a10274
121b642ab680
13c53088633
146bd960532
153e331a5a9
hex25b08d000

10117238784 has 104 divisors (see below), whose sum is σ = 27042095040. Its totient is φ = 3364159488.

The previous prime is 10117238783. The next prime is 10117238797. The reversal of 10117238784 is 48783271101.

It is a super-2 number, since 2×101172387842 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10117238783) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6991149 + ... + 6992595.

Almost surely, 210117238784 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 10117238784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13521047520).

10117238784 is an abundant number, since it is smaller than the sum of its proper divisors (16924856256).

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

10117238784 is an equidigital number, since it uses as much as digits as its factorization.

10117238784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2043 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 42.

The spelling of 10117238784 in words is "ten billion, one hundred seventeen million, two hundred thirty-eight thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 569 768 1024 1138 1447 1536 1707 2048 2276 2894 3072 3414 4096 4341 4552 5788 6144 6828 8682 9104 11576 12288 13656 17364 18208 23152 27312 34728 36416 46304 54624 69456 72832 92608 109248 138912 145664 185216 218496 277824 291328 370432 436992 555648 582656 740864 823343 873984 1111296 1165312 1481728 1646686 1747968 2222592 2330624 2470029 2963456 3293372 3495936 4445184 4940058 5926912 6586744 6991872 8890368 9880116 13173488 17780736 19760232 26346976 39520464 52693952 79040928 105387904 158081856 210775808 316163712 421551616 632327424 843103232 1264654848 1686206464 2529309696 3372412928 5058619392 10117238784