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115554154144 = 251113116321713
BaseRepresentation
bin110101110011110010…
…0000111011010100000
3102001021011112020111211
41223213210013122200
53343123330413034
6125030154315504
711230353050452
oct1534744073240
9361234466454
10115554154144
1145008342350
121a48aa28b94
13ab870c1a50
145842ad62d2
153014a12d64
hex1ae79076a0

115554154144 has 96 divisors (see below), whose sum is σ = 267511616064. Its totient is φ = 48440340480.

The previous prime is 115554154109. The next prime is 115554154171. The reversal of 115554154144 is 441451455511.

It is a junction number, because it is equal to n+sod(n) for n = 115554154097 and 115554154106.

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, 5311032 + ... + 5332744.

It is an arithmetic number, because the mean of its divisors is an integer number (2786579334).

Almost surely, 2115554154144 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 115554154144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133755808032).

115554154144 is an abundant number, since it is smaller than the sum of its proper divisors (151957461920).

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

115554154144 is a wasteful number, since it uses less digits than its factorization.

115554154144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22910 (or 22902 counting only the distinct ones).

The product of its digits is 160000, while the sum is 40.

The spelling of 115554154144 in words is "one hundred fifteen billion, five hundred fifty-four million, one hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 1144 1163 2288 2326 4576 4652 9304 12793 15119 18608 21713 25586 30238 37216 43426 51172 60476 86852 102344 120952 166309 173704 204688 238843 241904 282269 332618 347408 409376 477686 483808 564538 665236 694816 955372 1129076 1330472 1910744 2258152 2660944 3104959 3821488 4516304 5321888 6209918 7642976 9032608 12419836 24839672 25252219 49679344 50504438 99358688 101008876 202017752 277774409 328278847 404035504 555548818 656557694 808071008 1111097636 1313115388 2222195272 2626230776 3611067317 4444390544 5252461552 7222134634 8888781088 10504923104 14444269268 28888538536 57777077072 115554154144