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116412046432 = 2511798215099
BaseRepresentation
bin110110001101010110…
…0101101110001100000
3102010110221210200111021
41230122230231301200
53401402440441212
6125251242055224
711260541032243
oct1543254556140
9363427720437
10116412046432
1145408624540
121a68a1aa514
13ac92a64416
1458c4a1125a
153064ec3307
hex1b1ab2dc60

116412046432 has 96 divisors (see below), whose sum is σ = 253544256000. Its totient is φ = 52170892800.

The previous prime is 116412046427. The next prime is 116412046441. The reversal of 116412046432 is 234640214611.

It is a super-2 number, since 2×1164120464322 (a number of 23 digits) contains 22 as substring.

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, 22827819 + ... + 22832917.

It is an arithmetic number, because the mean of its divisors is an integer number (2641086000).

Almost surely, 2116412046432 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 116412046432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126772128000).

116412046432 is an abundant number, since it is smaller than the sum of its proper divisors (137132209568).

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

116412046432 is a wasteful number, since it uses less digits than its factorization.

116412046432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6020 (or 6012 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 116412046432 in words is "one hundred sixteen billion, four hundred twelve million, forty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 79 88 158 176 316 352 632 821 869 1264 1642 1738 2528 3284 3476 5099 6568 6952 9031 10198 13136 13904 18062 20396 26272 27808 36124 40792 56089 64859 72248 81584 112178 129718 144496 163168 224356 259436 288992 402821 448712 518872 713449 805642 897424 1037744 1426898 1611284 1794848 2075488 2853796 3222568 4186279 4431031 5707592 6445136 8372558 8862062 11415184 12890272 16745116 17724124 22830368 33490232 35448248 46049069 66980464 70896496 92098138 133960928 141792992 184196276 330716041 368392552 661432082 736785104 1322864164 1473570208 2645728328 3637876451 5291456656 7275752902 10582913312 14551505804 29103011608 58206023216 116412046432