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137169473040 = 24325190513157
BaseRepresentation
bin111111110111111110…
…0000000111000010000
3111010001120120012201100
41333233330000320100
54221410341114130
6143003105504400
712624121166055
oct1775774007020
9433046505640
10137169473040
115319a656366
1222701942100
13cc20336c82
1468d373d02c
15387c4a6c60
hex1feff00e10

137169473040 has 60 divisors (see below), whose sum is σ = 460660816044. Its totient is φ = 36578525952.

The previous prime is 137169473011. The next prime is 137169473047. The reversal of 137169473040 is 40374961731.

137169473040 is a `hidden beast` number, since 13 + 7 + 169 + 473 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77312914704 + 59856558336 = 278052^2 + 244656^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (137169473047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95255859 + ... + 95257298.

Almost surely, 2137169473040 is an apocalyptic number.

137169473040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137169473040 is an abundant number, since it is smaller than the sum of its proper divisors (323491343004).

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

137169473040 is a wasteful number, since it uses less digits than its factorization.

137169473040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190513176 (or 190513167 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 137169473040 in words is "one hundred thirty-seven billion, one hundred sixty-nine million, four hundred seventy-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 190513157 381026314 571539471 762052628 952565785 1143078942 1524105256 1714618413 1905131570 2286157884 2857697355 3048210512 3429236826 3810263140 4572315768 5715394710 6858473652 7620526280 8573092065 9144631536 11430789420 13716947304 15241052560 17146184130 22861578840 27433894608 34292368260 45723157680 68584736520 137169473040