Search a number
-
+
117780255840 = 25351318875041
BaseRepresentation
bin110110110110001000…
…0000001010001100000
3102021000022022220221210
41231230100001101200
53412203221141330
6130035115350120
711336463441042
oct1555420012140
9367008286853
10117780255840
1145a4a97a515
121a9b0452340
13b150361ba0
1459b4609a92
1530e51888b0
hex1b6c401460

117780255840 has 96 divisors (see below), whose sum is σ = 399546889056. Its totient is φ = 28992061440.

The previous prime is 117780255779. The next prime is 117780255851. The reversal of 117780255840 is 48552087711.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×1177802558403 (a number of 34 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 117780255840.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9431281 + ... + 9443760.

It is an arithmetic number, because the mean of its divisors is an integer number (4161946761).

Almost surely, 2117780255840 is an apocalyptic number.

117780255840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117780255840 is an abundant number, since it is smaller than the sum of its proper divisors (281766633216).

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

117780255840 is a wasteful number, since it uses less digits than its factorization.

117780255840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18875072 (or 18875064 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 48.

The spelling of 117780255840 in words is "one hundred seventeen billion, seven hundred eighty million, two hundred fifty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 18875041 37750082 56625123 75500164 94375205 113250246 151000328 188750410 226500492 245375533 283125615 302000656 377500820 453000984 490751066 566251230 604001312 736126599 755001640 906001968 981502132 1132502460 1226877665 1472253198 1510003280 1812003936 1963004264 2265004920 2453755330 2944506396 3020006560 3680632995 3926008528 4530009840 4907510660 5889012792 7361265990 7852017056 9060019680 9815021320 11778025584 14722531980 19630042640 23556051168 29445063960 39260085280 58890127920 117780255840