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1640744548956 = 2233109139376873
BaseRepresentation
bin10111111000000011111…
…111101111101001011100
312210212001022100000122000
4113320003333233221130
5203340221101031311
63253425253522300
7226353115361352
oct27700377575134
95725038300560
101640744548956
11582921584147
12225ba2043390
13bb94c314bc6
14595abb0b7d2
152ca2d63d056
hex17e03fefa5c

1640744548956 has 48 divisors (see below), whose sum is σ = 4292807719200. Its totient is φ = 541897278336.

The previous prime is 1640744548951. The next prime is 1640744548957. The reversal of 1640744548956 is 6598454470461.

1640744548956 is a `hidden beast` number, since 1 + 6 + 40 + 7 + 44 + 548 + 9 + 5 + 6 = 666.

It is a super-3 number, since 3×16407445489563 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1640744548893 and 1640744548902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1640744548951) 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, 69676665 + ... + 69700208.

It is an arithmetic number, because the mean of its divisors is an integer number (89433494150).

Almost surely, 21640744548956 is an apocalyptic number.

It is an amenable number.

1640744548956 is an abundant number, since it is smaller than the sum of its proper divisors (2652063170244).

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

1640744548956 is a wasteful number, since it uses less digits than its factorization.

1640744548956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139376995 (or 139376987 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 1640744548956 in words is "one trillion, six hundred forty billion, seven hundred forty-four million, five hundred forty-eight thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 109 218 327 436 654 981 1308 1962 2943 3924 5886 11772 139376873 278753746 418130619 557507492 836261238 1254391857 1672522476 2508783714 3763175571 5017567428 7526351142 15052702284 15192079157 30384158314 45576237471 60768316628 91152474942 136728712413 182304949884 273457424826 410186137239 546914849652 820372274478 1640744548956