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116852191008 = 25372121320479
BaseRepresentation
bin110110011010011101…
…1101110111100100000
3102011121122000100100020
41230310323232330200
53403303130103013
6125403043553440
711304464143500
oct1546473567440
9364548010306
10116852191008
1145614019693
121a79168b880
13b032cc02b7
145927265a00
15308d966623
hex1b34eeef20

116852191008 has 144 divisors (see below), whose sum is σ = 357128110080. Its totient is φ = 33357187584.

The previous prime is 116852191003. The next prime is 116852191019. The reversal of 116852191008 is 800191258611.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (116852191003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5695713 + ... + 5716191.

It is an arithmetic number, because the mean of its divisors is an integer number (2480056320).

Almost surely, 2116852191008 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 116852191008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178564055040).

116852191008 is an abundant number, since it is smaller than the sum of its proper divisors (240275919072).

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

116852191008 is a wasteful number, since it uses less digits than its factorization.

116852191008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21719 (or 21704 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 42.

The spelling of 116852191008 in words is "one hundred sixteen billion, eight hundred fifty-two million, one hundred ninety-one thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1213 1568 2352 2426 3639 4704 4852 7278 8491 9704 14556 16982 19408 20479 25473 29112 33964 38816 40958 50946 58224 59437 61437 67928 81916 101892 116448 118874 122874 135856 143353 163832 178311 203784 237748 245748 271712 286706 327664 356622 407568 430059 475496 491496 573412 655328 713244 815136 860118 950992 982992 1003471 1146824 1426488 1720236 1901984 1965984 2006942 2293648 2852976 3010413 3440472 4013884 4587296 5705952 6020826 6880944 8027768 12041652 13761888 16055536 24083304 24841027 32111072 48166608 49682054 74523081 96333216 99364108 149046162 173887189 198728216 298092324 347774378 397456432 521661567 596184648 695548756 794912864 1043323134 1192369296 1217210323 1391097512 2086646268 2384738592 2434420646 2782195024 3651630969 4173292536 4868841292 5564390048 7303261938 8346585072 9737682584 14606523876 16693170144 19475365168 29213047752 38950730336 58426095504 116852191008