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116351224640 = 2657167311033
BaseRepresentation
bin110110001011100010…
…0101100101101000000
3102010022201100121200022
41230113010230231000
53401241403142030
6125241230313012
711256202043240
oct1542704545500
9363281317608
10116351224640
11453872621a2
121a671958768
13ac8328a3b1
1458ba8dbb20
15305e9abde5
hex1b1712cb40

116351224640 has 112 divisors (see below), whose sum is σ = 318538628352. Its totient is φ = 39652847616.

The previous prime is 116351224609. The next prime is 116351224651. The reversal of 116351224640 is 46422153611.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 116351224640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218564 + ... + 529596.

It is an arithmetic number, because the mean of its divisors is an integer number (2844094896).

Almost surely, 2116351224640 is an apocalyptic number.

116351224640 is a gapful number since it is divisible by the number (10) 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 116351224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159269314176).

116351224640 is an abundant number, since it is smaller than the sum of its proper divisors (202187403712).

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

116351224640 is a wasteful number, since it uses less digits than its factorization.

116351224640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311224 (or 311214 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 116351224640 in words is "one hundred sixteen billion, three hundred fifty-one million, two hundred twenty-four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 167 224 280 320 334 448 560 668 835 1120 1169 1336 1670 2240 2338 2672 3340 4676 5344 5845 6680 9352 10688 11690 13360 18704 23380 26720 37408 46760 53440 74816 93520 187040 311033 374080 622066 1244132 1555165 2177231 2488264 3110330 4354462 4976528 6220660 8708924 9953056 10886155 12441320 17417848 19906112 21772310 24882640 34835696 43544620 49765280 51942511 69671392 87089240 99530560 103885022 139342784 174178480 207770044 259712555 348356960 363597577 415540088 519425110 696713920 727195154 831080176 1038850220 1454390308 1662160352 1817987885 2077700440 2908780616 3324320704 3635975770 4155400880 5817561232 7271951540 8310801760 11635122464 14543903080 16621603520 23270244928 29087806160 58175612320 116351224640