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40552200704 = 291311573851
BaseRepresentation
bin100101110001000110…
…010111101000000000
310212200011010020110102
4211301012113220000
51131022330410304
630343542221532
72633631006251
oct456106275000
9125604106412
1040552200704
111621a729664
127a38a248a8
133a935b3642
141d69a70b28
1510c5211d1e
hex971197a00

40552200704 has 80 divisors (see below), whose sum is σ = 82185070176. Its totient is φ = 19987968000.

The previous prime is 40552200701. The next prime is 40552200737. The reversal of 40552200704 is 40700225504.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (40552200701) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10528379 + ... + 10532229.

Almost surely, 240552200704 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 40552200704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41092535088).

40552200704 is an abundant number, since it is smaller than the sum of its proper divisors (41632869472).

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

40552200704 is a wasteful number, since it uses less digits than its factorization.

40552200704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4157 (or 4141 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 29.

The spelling of 40552200704 in words is "forty billion, five hundred fifty-two million, two hundred thousand, seven hundred four".

Divisors: 1 2 4 8 16 32 64 128 131 157 256 262 314 512 524 628 1048 1256 2096 2512 3851 4192 5024 7702 8384 10048 15404 16768 20096 20567 30808 33536 40192 41134 61616 67072 80384 82268 123232 164536 246464 329072 492928 504481 604607 658144 985856 1008962 1209214 1316288 1971712 2017924 2418428 2632576 4035848 4836856 5265152 8071696 9673712 10530304 16143392 19347424 32286784 38694848 64573568 77389696 79203517 129147136 154779392 158407034 258294272 309558784 316814068 633628136 1267256272 2534512544 5069025088 10138050176 20276100352 40552200704