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1625252255616 = 27311384766159
BaseRepresentation
bin10111101001101000100…
…101010101011110000000
312202101001121211222102210
4113221220211111132000
5203112004034134431
63242344112142120
7225264160143363
oct27515045253600
95671047758383
101625252255616
115772a1589930
12222b99837940
13ba3507b1822
145893c37a0da
152c4234d3d46
hex17a68955780

1625252255616 has 64 divisors (see below), whose sum is σ = 4709537798400. Its totient is φ = 492500682240.

The previous prime is 1625252255593. The next prime is 1625252255629. The reversal of 1625252255616 is 6165522525261.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192378856 + ... + 192387303.

It is an arithmetic number, because the mean of its divisors is an integer number (73586528100).

Almost surely, 21625252255616 is an apocalyptic number.

1625252255616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1625252255616 is an abundant number, since it is smaller than the sum of its proper divisors (3084285542784).

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

1625252255616 is a wasteful number, since it uses less digits than its factorization.

1625252255616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384766187 (or 384766175 counting only the distinct ones).

The product of its digits is 2160000, while the sum is 48.

The spelling of 1625252255616 in words is "one trillion, six hundred twenty-five billion, two hundred fifty-two million, two hundred fifty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 384766159 769532318 1154298477 1539064636 2308596954 3078129272 4232427749 4617193908 6156258544 8464855498 9234387816 12312517088 12697283247 16929710996 18468775632 24625034176 25394566494 33859421992 36937551264 49250068352 50789132988 67718843984 73875102528 101578265976 135437687968 147750205056 203156531952 270875375936 406313063904 541750751872 812626127808 1625252255616