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116513626440 = 23352814318017
BaseRepresentation
bin110110010000011000…
…0001101100101001000
3102010202000221111001210
41230200300031211020
53402104442021230
6125305311213120
711263213325001
oct1544060154510
9363660844053
10116513626440
114545a9a5062
121a6b82171a0
13acaab0c133
1458d42d41a8
15306dd8aeb0
hex1b20c0d948

116513626440 has 128 divisors (see below), whose sum is σ = 351642539520. Its totient is φ = 30884044800.

The previous prime is 116513626429. The next prime is 116513626469. The reversal of 116513626440 is 44626315611.

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, 14529312 + ... + 14537328.

It is an arithmetic number, because the mean of its divisors is an integer number (2747207340).

Almost surely, 2116513626440 is an apocalyptic number.

116513626440 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 116513626440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175821269760).

116513626440 is an abundant number, since it is smaller than the sum of its proper divisors (235128913080).

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

116513626440 is a wasteful number, since it uses less digits than its factorization.

116513626440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8743 (or 8739 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 116513626440 in words is "one hundred sixteen billion, five hundred thirteen million, six hundred twenty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 281 431 562 843 862 1124 1293 1405 1686 1724 2155 2248 2586 2810 3372 3448 4215 4310 5172 5620 6465 6744 8017 8430 8620 10344 11240 12930 16034 16860 17240 24051 25860 32068 33720 40085 48102 51720 64136 80170 96204 120255 121111 160340 192408 240510 242222 320680 363333 481020 484444 605555 726666 962040 968888 1211110 1453332 1816665 2252777 2422220 2906664 3455327 3633330 4505554 4844440 6758331 6910654 7266660 9011108 10365981 11263885 13516662 13821308 14533320 17276635 18022216 20731962 22527770 27033324 27642616 33791655 34553270 41463924 45055540 51829905 54066648 67583310 69106540 82927848 90111080 103659810 135166620 138213080 207319620 270333240 414639240 970946887 1941893774 2912840661 3883787548 4854734435 5825681322 7767575096 9709468870 11651362644 14564203305 19418937740 23302725288 29128406610 38837875480 58256813220 116513626440