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1955845152 = 253214874567
BaseRepresentation
bin111010010010011…
…1101010000100000
312001022021020011100
41310210331100200
513001144021102
6522024314400
766316260312
oct16444752040
95038236140
101955845152
11914029458
12467012a00
13252287631
14147a837b2
15b6a8ea1c
hex7493d420

1955845152 has 72 divisors (see below), whose sum is σ = 5566893696. Its totient is φ = 651367296.

The previous prime is 1955845141. The next prime is 1955845159. The reversal of 1955845152 is 2515485591.

1955845152 is a `hidden beast` number, since 1 + 9 + 55 + 84 + 515 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 1955845098 and 1955845107.

It is not an unprimeable number, because it can be changed into a prime (1955845159) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 425973 + ... + 430539.

It is an arithmetic number, because the mean of its divisors is an integer number (77317968).

Almost surely, 21955845152 is an apocalyptic number.

1955845152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1955845152 is an abundant number, since it is smaller than the sum of its proper divisors (3611048544).

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

1955845152 is a wasteful number, since it uses less digits than its factorization.

1955845152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6070 (or 6059 counting only the distinct ones).

The product of its digits is 360000, while the sum is 45.

The square root of 1955845152 is about 44224.9381231902. The cubic root of 1955845152 is about 1250.5800299040.

The spelling of 1955845152 in words is "one billion, nine hundred fifty-five million, eight hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1487 2974 4461 4567 5948 8922 9134 11896 13383 13701 17844 18268 23792 26766 27402 35688 36536 41103 47584 53532 54804 71376 73072 82206 107064 109608 142752 146144 164412 214128 219216 328824 428256 438432 657648 1315296 6791129 13582258 20373387 27164516 40746774 54329032 61120161 81493548 108658064 122240322 162987096 217316128 244480644 325974192 488961288 651948384 977922576 1955845152