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40293469632 = 263131719234153
BaseRepresentation
bin100101100001101011…
…011000110111000000
310212000010021100011010
4211201223120313000
51130010112012012
630302140520520
72624336561253
oct454153306700
9125003240133
1040293469632
11160a7682129
127986250140
133a51b04b30
141d4356109a
1510ac655c3c
hex961ad8dc0

40293469632 has 896 divisors, whose sum is σ = 139363338240. Its totient is φ = 10121379840.

The previous prime is 40293469583. The next prime is 40293469637. The reversal of 40293469632 is 23696439204.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40293469637) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 760254118 + ... + 760254170.

It is an arithmetic number, because the mean of its divisors is an integer number (155539440).

Almost surely, 240293469632 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 40293469632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69681669120).

40293469632 is an abundant number, since it is smaller than the sum of its proper divisors (99069868608).

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

40293469632 is a wasteful number, since it uses less digits than its factorization.

40293469632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 48.

The spelling of 40293469632 in words is "forty billion, two hundred ninety-three million, four hundred sixty-nine thousand, six hundred thirty-two".