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39056208040 = 2354197245513
BaseRepresentation
bin100100010111111011…
…100111000010101000
310201210220010221022201
4210113323213002220
51114441342124130
625535302025544
72551564201513
oct442773470250
9121726127281
1039056208040
1115622236193
12769ba182b4
1338b5695395
141c670d1d7a
151038c09bca
hex917ee70a8

39056208040 has 64 divisors (see below), whose sum is σ = 90948206160. Its totient is φ = 15084257280.

The previous prime is 39056208031. The next prime is 39056208053. The reversal of 39056208040 is 4080265093.

39056208040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 5305374244 + 33750833796 = 72838^2 + 183714^2 .

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, 36324 + ... + 281836.

Almost surely, 239056208040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39056208040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45474103080).

39056208040 is an abundant number, since it is smaller than the sum of its proper divisors (51891998120).

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

39056208040 is a wasteful number, since it uses less digits than its factorization.

39056208040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245662 (or 245658 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 39056208040 in words is "thirty-nine billion, fifty-six million, two hundred eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 97 164 194 205 328 388 410 485 776 820 970 1640 1940 3880 3977 7954 15908 19885 31816 39770 79540 159080 245513 491026 982052 1227565 1964104 2455130 4910260 9820520 10066033 20132066 23814761 40264132 47629522 50330165 80528264 95259044 100660330 119073805 190518088 201320660 238147610 402641320 476295220 952590440 976405201 1952810402 3905620804 4882026005 7811241608 9764052010 19528104020 39056208040