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40489713792 = 27321119253167
BaseRepresentation
bin100101101101011000…
…000000000010000000
310212111210112120112100
4211231120000002000
51130410331320132
630333431030400
72632241613543
oct455530000200
9125453476470
1040489713792
111619842a290
127a1bb0b400
133a83675738
141d6164685a
1510be9bc37c
hex96d600080

40489713792 has 576 divisors, whose sum is σ = 137496864960. Its totient is φ = 11336232960.

The previous prime is 40489713787. The next prime is 40489713827. The reversal of 40489713792 is 29731798404.

40489713792 is a `hidden beast` number, since 4 + 0 + 489 + 71 + 3 + 7 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 242453293 + ... + 242453459.

It is an arithmetic number, because the mean of its divisors is an integer number (238709835).

Almost surely, 240489713792 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 40489713792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68748432480).

40489713792 is an abundant number, since it is smaller than the sum of its proper divisors (97007151168).

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

40489713792 is a wasteful number, since it uses less digits than its factorization.

40489713792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 40489713792 in words is "forty billion, four hundred eighty-nine million, seven hundred thirteen thousand, seven hundred ninety-two".