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40694885771904 = 2736721317223103
BaseRepresentation
bin10010100000011000001000…
…01101011110101010000000
312100002101121120002201000000
421100030010031132222000
520313221111224200104
6222314550014000000
711400052130461200
oct1120140415365200
9170071546081000
1040694885771904
1111a6a671117481
124692b36aa6000
131992685320120
14a099004a6400
154a8879d07639
hex25030435ea80

40694885771904 has 4032 divisors, whose sum is σ = 170430057383040. Its totient is φ = 9568382681088.

The previous prime is 40694885771899. The next prime is 40694885771933. The reversal of 40694885771904 is 40917758849604.

40694885771904 is a `hidden beast` number, since 4 + 0 + 6 + 9 + 48 + 8 + 577 + 1 + 9 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 395095978317 + ... + 395095978419.

It is an arithmetic number, because the mean of its divisors is an integer number (42269359470).

Almost surely, 240694885771904 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 40694885771904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85215028691520).

40694885771904 is an abundant number, since it is smaller than the sum of its proper divisors (129735171611136).

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

40694885771904 is a wasteful number, since it uses less digits than its factorization.

40694885771904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 40694885771904 in words is "forty trillion, six hundred ninety-four billion, eight hundred eighty-five million, seven hundred seventy-one thousand, nine hundred four".