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117322415232 = 27311214112973
BaseRepresentation
bin110110101000011110…
…1011111110010000000
3102012211101211012201020
41231100331133302000
53410234014241412
6125521442305440
711322234034551
oct1552075376200
9365741735636
10117322415232
1145835499050
121a8a3058280
13b0a954b499
14596d8aa328
1530b9d9c18c
hex1b50f5fc80

117322415232 has 128 divisors (see below), whose sum is σ = 340153369920. Its totient is φ = 35532902400.

The previous prime is 117322415143. The next prime is 117322415233. The reversal of 117322415232 is 232514223711.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1173224152322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 117322415193 and 117322415202.

It is not an unprimeable number, because it can be changed into a prime (117322415233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9037098 + ... + 9050070.

Almost surely, 2117322415232 is an apocalyptic number.

117322415232 is a gapful number since it is divisible by the number (12) 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 117322415232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170076684960).

117322415232 is an abundant number, since it is smaller than the sum of its proper divisors (222830954688).

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

117322415232 is a wasteful number, since it uses less digits than its factorization.

117322415232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15142 (or 15130 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

Adding to 117322415232 its reverse (232514223711), we get a palindrome (349836638943).

The spelling of 117322415232 in words is "one hundred seventeen billion, three hundred twenty-two million, four hundred fifteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 2141 4224 4282 6423 8564 12846 12973 17128 23551 25692 25946 34256 38919 47102 51384 51892 68512 70653 77838 94204 102768 103784 137024 141306 142703 155676 188408 205536 207568 274048 282612 285406 311352 376816 411072 415136 428109 565224 570812 622704 753632 822144 830272 856218 1130448 1141624 1245408 1507264 1660544 1712436 2260896 2283248 2490816 3014528 3424872 4521792 4566496 4981632 6849744 9043584 9132992 13699488 18265984 27398976 27775193 54797952 55550386 83325579 111100772 166651158 222201544 305527123 333302316 444403088 611054246 666604632 888806176 916581369 1222108492 1333209264 1777612352 1833162738 2444216984 2666418528 3555224704 3666325476 4888433968 5332837056 7332650952 9776867936 10665674112 14665301904 19553735872 29330603808 39107471744 58661207616 117322415232