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123881511076148 = 227371131915540321
BaseRepresentation
bin11100001010101101101001…
…011101100100000100110100
3121020121221211111122202011102
4130022231221131210010310
5112214133313313414043
61115250214110025232
735044100221023560
oct3412555135440464
9536557744582142
10123881511076148
1136521943466621
1211a890974a8218
135417c9010a937
142283c7ba106a0
15e4c6981416b8
hex70ab69764134

123881511076148 has 96 divisors (see below), whose sum is σ = 258055256567808. Its totient is φ = 50931940147200.

The previous prime is 123881511076117. The next prime is 123881511076163. The reversal of 123881511076148 is 841670115188321.

It is a junction number, because it is equal to n+sod(n) for n = 123881511076093 and 123881511076102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19589828 + ... + 25130148.

It is an arithmetic number, because the mean of its divisors is an integer number (2688075589248).

Almost surely, 2123881511076148 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 123881511076148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129027628283904).

123881511076148 is an abundant number, since it is smaller than the sum of its proper divisors (134173745491660).

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

123881511076148 is a wasteful number, since it uses less digits than its factorization.

123881511076148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5540673 (or 5540671 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 56.

The spelling of 123881511076148 in words is "one hundred twenty-three trillion, eight hundred eighty-one billion, five hundred eleven million, seventy-six thousand, one hundred forty-eight".

Divisors: 1 2 4 7 14 28 37 74 113 148 191 226 259 382 452 518 764 791 1036 1337 1582 2674 3164 4181 5348 7067 8362 14134 16724 21583 28268 29267 43166 49469 58534 86332 98938 117068 151081 197876 302162 604324 798571 1597142 3194284 5540321 5589997 11080642 11179994 22161284 22359988 38782247 77564494 155128988 204991877 409983754 626056273 819967508 1058201311 1252112546 1434943139 2116402622 2504225092 2869886278 4232805244 4382393911 5739772556 7407409177 8764787822 14814818354 17529575644 23164082101 29629636708 39153448507 46328164202 78306897014 92656328404 119576748143 156613794028 162148574707 239153496286 274074139549 324297149414 478306992572 548148279098 648594298828 837037237001 1096296558196 1674074474002 3348148948004 4424339681291 8848679362582 17697358725164 30970377769037 61940755538074 123881511076148