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252900342120 = 23352727777263
BaseRepresentation
bin1110101110001000001…
…0001111100101101000
3220011210001121111112210
43223202002033211220
513120414441421440
6312103020005120
724162051303456
oct3534202174550
9804701544483
10252900342120
1198288717208
124101b9907a0
131ab04c1c56a
14c351ab59d6
1568a2774a80
hex3ae208f968

252900342120 has 64 divisors (see below), whose sum is σ = 758738661120. Its totient is φ = 67436745984.

The previous prime is 252900342109. The next prime is 252900342139. The reversal of 252900342120 is 21243009252.

252900342120 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 3234609 + ... + 3311871.

It is an arithmetic number, because the mean of its divisors is an integer number (11855291580).

Almost surely, 2252900342120 is an apocalyptic number.

252900342120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252900342120 is an abundant number, since it is smaller than the sum of its proper divisors (505838319000).

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

252900342120 is a wasteful number, since it uses less digits than its factorization.

252900342120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104554 (or 104550 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 252900342120 in words is "two hundred fifty-two billion, nine hundred million, three hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 27277 54554 77263 81831 109108 136385 154526 163662 218216 231789 272770 309052 327324 386315 409155 463578 545540 618104 654648 772630 818310 927156 1091080 1158945 1545260 1636620 1854312 2317890 3090520 3273240 4635780 9271560 2107502851 4215005702 6322508553 8430011404 10537514255 12645017106 16860022808 21075028510 25290034212 31612542765 42150057020 50580068424 63225085530 84300114040 126450171060 252900342120