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117503545040 = 24571381151939
BaseRepresentation
bin110110101101111000…
…0011100111011010000
3102020022000122120002122
41231123300130323100
53411121401420130
6125551432433412
711326563440030
oct1553360347320
9366260576078
10117503545040
1145918762602
121a933848868
13b107c2969b
1459899798c0
1530cac2a2e5
hex1b5bc1ced0

117503545040 has 80 divisors (see below), whose sum is σ = 312451847040. Its totient is φ = 40257492480.

The previous prime is 117503545037. The next prime is 117503545073. The reversal of 117503545040 is 40545305711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 697391 + ... + 849329.

It is an arithmetic number, because the mean of its divisors is an integer number (3905648088).

Almost surely, 2117503545040 is an apocalyptic number.

117503545040 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 117503545040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156225923520).

117503545040 is an abundant number, since it is smaller than the sum of its proper divisors (194948302000).

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

117503545040 is a wasteful number, since it uses less digits than its factorization.

117503545040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153340 (or 153334 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 35.

The spelling of 117503545040 in words is "one hundred seventeen billion, five hundred three million, five hundred forty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1381 2762 5524 6905 9667 11048 13810 19334 22096 27620 38668 48335 55240 77336 96670 110480 151939 154672 193340 303878 386680 607756 759695 773360 1063573 1215512 1519390 2127146 2431024 3038780 4254292 5317865 6077560 8508584 10635730 12155120 17017168 21271460 42542920 85085840 209827759 419655518 839311036 1049138795 1468794313 1678622072 2098277590 2937588626 3357244144 4196555180 5875177252 7343971565 8393110360 11750354504 14687943130 16786220720 23500709008 29375886260 58751772520 117503545040