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40370503680 = 216365132
BaseRepresentation
bin100101100110010001…
…010000000000000000
310212012111020002000000
4211212101100000000
51130134322104210
630313532000000
72626263422313
oct454621200000
9125174202000
1040370503680
1116137107a31
1279a8000000
133a64a67200
141d4d89497a
1510b42c0ac0
hex966450000

40370503680 has 714 divisors, whose sum is σ = 157300142094. Its totient is φ = 9937354752.

The previous prime is 40370503673. The next prime is 40370503729. The reversal of 40370503680 is 8630507304.

It is a happy number.

40370503680 is a `hidden beast` number, since 4 + 0 + 3 + 70 + 503 + 6 + 80 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 191102976 + 40179400704 = 13824^2 + 200448^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 3105423354 + ... + 3105423366.

Almost surely, 240370503680 is an apocalyptic number.

40370503680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40370503680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78650071047).

40370503680 is an abundant number, since it is smaller than the sum of its proper divisors (116929638414).

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

40370503680 is an frugal number, since it uses more digits than its factorization.

40370503680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 40370503680 in words is "forty billion, three hundred seventy million, five hundred three thousand, six hundred eighty".