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12157805237160 = 2335119210458513
BaseRepresentation
bin1011000011101011010110…
…1010011001001110101000
31121001021102100110202011210
42300322311222121032220
53043143141120042120
641505115115553120
72363241514261152
oct260726552311650
947037370422153
1012157805237160
113968107115180
12144432045b7a0
136a262603c86b
14300625c19ad2
151613bbd77ce0
hexb0eb5a993a8

12157805237160 has 64 divisors (see below), whose sum is σ = 39789180780480. Its totient is φ = 2947346723840.

The previous prime is 12157805237159. The next prime is 12157805237161. The reversal of 12157805237160 is 6173250875121.

12157805237160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12157805237159) and next prime (12157805237161).

It is not an unprimeable number, because it can be changed into a prime (12157805237161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4605227937 + ... + 4605230576.

It is an arithmetic number, because the mean of its divisors is an integer number (621705949695).

Almost surely, 212157805237160 is an apocalyptic number.

12157805237160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12157805237160 is an abundant number, since it is smaller than the sum of its proper divisors (27631375543320).

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

12157805237160 is a wasteful number, since it uses less digits than its factorization.

12157805237160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9210458538 (or 9210458534 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 48.

The spelling of 12157805237160 in words is "twelve trillion, one hundred fifty-seven billion, eight hundred five million, two hundred thirty-seven thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 9210458513 18420917026 27631375539 36841834052 46052292565 55262751078 73683668104 92104585130 101315043643 110525502156 138156877695 184209170260 202630087286 221051004312 276313755390 303945130929 368418340520 405260174572 506575218215 552627510780 607890261858 810520349144 1013150436430 1105255021560 1215780523716 1519725654645 2026300872860 2431561047432 3039451309290 4052601745720 6078902618580 12157805237160