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2935247740392 = 2331165930675501
BaseRepresentation
bin101010101101101010011…
…001100001110111101000
3101101121101110110200001210
4222231222121201313220
5341042341410143032
610124233441513120
7422031114063102
oct52555231416750
911347343420053
102935247740392
11a31916911740
123b4a546427a0
13183a3c6751a6
14a20d1230572
1551544bc42cc
hex2ab6a661de8

2935247740392 has 128 divisors (see below), whose sum is σ = 8021440627200. Its totient is φ = 887668320000.

The previous prime is 2935247740391. The next prime is 2935247740393. The reversal of 2935247740392 is 2930477425392.

It is an interprime number because it is at equal distance from previous prime (2935247740391) and next prime (2935247740393).

It is not an unprimeable number, because it can be changed into a prime (2935247740391) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 533581642 + ... + 533587142.

It is an arithmetic number, because the mean of its divisors is an integer number (62667504900).

Almost surely, 22935247740392 is an apocalyptic number.

2935247740392 is a gapful number since it is divisible by the number (22) 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 2935247740392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4010720313600).

2935247740392 is an abundant number, since it is smaller than the sum of its proper divisors (5086192886808).

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

2935247740392 is a wasteful number, since it uses less digits than its factorization.

2935247740392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9247 (or 9243 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 57.

The spelling of 2935247740392 in words is "two trillion, nine hundred thirty-five billion, two hundred forty-seven million, seven hundred forty thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 659 1318 1977 2636 3067 3954 5272 5501 6134 7249 7908 9201 11002 12268 14498 15816 16503 18402 21747 22004 24536 28996 33006 33737 36804 43494 44008 57992 60511 66012 67474 73608 86988 101211 121022 132024 134948 173976 181533 202422 242044 269896 363066 404844 484088 726132 809688 1452264 2021153 3625159 4042306 6063459 7250318 8084612 10875477 12126918 14500636 16169224 16871567 21750954 22232683 24253836 29001272 33743134 39876749 43501908 44465366 48507672 50614701 66698049 67486268 79753498 87003816 88930732 101229402 119630247 133396098 134972536 159506996 177861464 185587237 202458804 239260494 266792196 319013992 371174474 404917608 478520988 533584392 556761711 742348948 957041976 1113523422 1484697896 2227046844 4454093688 11118362653 22236725306 33355087959 44473450612 66710175918 88946901224 122301989183 133420351836 244603978366 266840703672 366905967549 489207956732 733811935098 978415913464 1467623870196 2935247740392