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116774501400 = 233252312092733
BaseRepresentation
bin110110011000001001…
…1010111110000011000
3102011102012211022020100
41230300103113300120
53403123233021100
6125351230455400
711302531612254
oct1546023276030
9364365738210
10116774501400
11455841862a7
121a76b664560
13b01cb8b70b
14591ac01264
153086c1c400
hex1b304d7c18

116774501400 has 144 divisors (see below), whose sum is σ = 404818464960. Its totient is φ = 30135340800.

The previous prime is 116774501399. The next prime is 116774501449. The reversal of 116774501400 is 4105477611.

116774501400 is a `hidden beast` number, since 1 + 1 + 67 + 7 + 450 + 140 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 990567 + ... + 1102166.

It is an arithmetic number, because the mean of its divisors is an integer number (2811239340).

Almost surely, 2116774501400 is an apocalyptic number.

116774501400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116774501400 is an abundant number, since it is smaller than the sum of its proper divisors (288043963560).

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

116774501400 is a wasteful number, since it uses less digits than its factorization.

116774501400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092786 (or 2092774 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 116774501400 in words is "one hundred sixteen billion, seven hundred seventy-four million, five hundred one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 31 36 40 45 50 60 62 72 75 90 93 100 120 124 150 155 180 186 200 225 248 279 300 310 360 372 450 465 558 600 620 744 775 900 930 1116 1240 1395 1550 1800 1860 2232 2325 2790 3100 3720 4650 5580 6200 6975 9300 11160 13950 18600 27900 55800 2092733 4185466 6278199 8370932 10463665 12556398 16741864 18834597 20927330 25112796 31390995 37669194 41854660 50225592 52318325 62781990 64874723 75338388 83709320 94172985 104636650 125563980 129749446 150676776 156954975 188345970 194624169 209273300 251127960 259498892 313909950 324373615 376691940 389248338 418546600 470864925 518997784 583872507 627819900 648747230 753383880 778496676 941729850 973120845 1167745014 1255639800 1297494460 1556993352 1621868075 1883459700 1946241690 2335490028 2594988920 2919362535 3243736150 3766919400 3892483380 4670980056 4865604225 5838725070 6487472300 7784966760 9731208450 11677450140 12974944600 14596812675 19462416900 23354900280 29193625350 38924833800 58387250700 116774501400