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116611367000 = 23533111333289
BaseRepresentation
bin110110010011010010…
…1000100000001011000
3102010222211212012220112
41230212211010001120
53402310002221000
6125323122143452
711265511156622
oct1544645040130
9363884765815
10116611367000
1145500092a87
121a724ab1b88
13acc514139b
145903297c12
153077746235
hex1b26944058

116611367000 has 128 divisors (see below), whose sum is σ = 284174092800. Its totient is φ = 44739072000.

The previous prime is 116611366999. The next prime is 116611367021. The reversal of 116611367000 is 763116611.

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, 3486356 + ... + 3519644.

It is an arithmetic number, because the mean of its divisors is an integer number (2220110100).

Almost surely, 2116611367000 is an apocalyptic number.

116611367000 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 116611367000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142087046400).

116611367000 is an abundant number, since it is smaller than the sum of its proper divisors (167562725800).

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

116611367000 is a wasteful number, since it uses less digits than its factorization.

116611367000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33454 (or 33440 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 32.

The spelling of 116611367000 in words is "one hundred sixteen billion, six hundred eleven million, three hundred sixty-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 113 124 125 155 200 226 248 250 310 452 500 565 620 775 904 1000 1130 1240 1550 2260 2825 3100 3503 3875 4520 5650 6200 7006 7750 11300 14012 14125 15500 17515 22600 28024 28250 31000 33289 35030 56500 66578 70060 87575 113000 133156 140120 166445 175150 266312 332890 350300 437875 665780 700600 832225 875750 1031959 1331560 1664450 1751500 2063918 3328900 3503000 3761657 4127836 4161125 5159795 6657800 7523314 8255672 8322250 10319590 15046628 16644500 18808285 20639180 25798975 30093256 33289000 37616570 41278360 51597950 75233140 94041425 103195900 116611367 128994875 150466280 188082850 206391800 233222734 257989750 376165700 466445468 470207125 515979500 583056835 752331400 932890936 940414250 1031959000 1166113670 1880828500 2332227340 2915284175 3761657000 4664454680 5830568350 11661136700 14576420875 23322273400 29152841750 58305683500 116611367000