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116624680000 = 26546147797
BaseRepresentation
bin110110010011101011…
…1110110010001000000
3102011000202220120220121
41230213113312101000
53402321404230000
6125324315350024
711266032265213
oct1544727662100
9364022816817
10116624680000
1145507656264
121a729452314
13acc7b22bba
145904d6177a
1530789c5b1a
hex1b275f6440

116624680000 has 140 divisors (see below), whose sum is σ = 293938294012. Its totient is φ = 45884160000.

The previous prime is 116624679991. The next prime is 116624680027. The reversal of 116624680000 is 86426611.

It can be written as a sum of positive squares in 10 ways, for example, as 112552198144 + 4072481856 = 335488^2 + 63816^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2416102 + ... + 2463898.

Almost surely, 2116624680000 is an apocalyptic number.

116624680000 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 116624680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146969147006).

116624680000 is an abundant number, since it is smaller than the sum of its proper divisors (177313614012).

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

116624680000 is an frugal number, since it uses more digits than its factorization.

116624680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47890 (or 47865 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 116624680000 in words is "one hundred sixteen billion, six hundred twenty-four million, six hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 61 64 80 100 122 125 160 200 244 250 305 320 400 488 500 610 625 800 976 1000 1220 1250 1525 1600 1952 2000 2440 2500 3050 3904 4000 4880 5000 6100 7625 8000 9760 10000 12200 15250 19520 20000 24400 30500 38125 40000 47797 48800 61000 76250 95594 97600 122000 152500 191188 238985 244000 305000 382376 477970 488000 610000 764752 955940 1194925 1220000 1529504 1911880 2389850 2440000 2915617 3059008 3823760 4779700 5831234 5974625 7647520 9559400 11662468 11949250 14578085 15295040 19118800 23324936 23898500 29156170 29873125 38237600 46649872 47797000 58312340 59746250 72890425 76475200 93299744 95594000 116624680 119492500 145780850 186599488 191188000 233249360 238985000 291561700 364452125 382376000 466498720 477970000 583123400 728904250 932997440 955940000 1166246800 1457808500 1822260625 1911880000 2332493600 2915617000 3644521250 4664987200 5831234000 7289042500 11662468000 14578085000 23324936000 29156170000 58312340000 116624680000