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40133516672 = 272910811831
BaseRepresentation
bin100101011000001001…
…001101110110000000
310211120222021212221102
4211120021031312000
51124143140013142
630234224313532
72620355156144
oct453011156600
9124528255842
1040133516672
11160253620a7
1279407728a8
133a2792c902
141d2a205224
15109d5ac532
hex95824dd80

40133516672 has 32 divisors (see below), whose sum is σ = 82710514800. Its totient is φ = 19374799360.

The previous prime is 40133516659. The next prime is 40133516677. The reversal of 40133516672 is 27661533104.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×401335166722 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40133516677) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5402204 + ... + 5409627.

Almost surely, 240133516672 is an apocalyptic number.

It is an amenable number.

40133516672 is an abundant number, since it is smaller than the sum of its proper divisors (42576998128).

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

40133516672 is a wasteful number, since it uses less digits than its factorization.

40133516672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10811874 (or 10811862 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The spelling of 40133516672 in words is "forty billion, one hundred thirty-three million, five hundred sixteen thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1856 3712 10811831 21623662 43247324 86494648 172989296 313543099 345978592 627086198 691957184 1254172396 1383914368 2508344792 5016689584 10033379168 20066758336 40133516672