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139466956032 = 283427724281
BaseRepresentation
bin1000000111100011100…
…0001101110100000000
3111022222200200102220000
42001320320031310000
54241112020043112
6144023100520000
713035056365155
oct2017070156400
9438880612800
10139466956032
1154169508338
1223043250000
13101c830a571
146a7091422c
15396402c7dc
hex2078e0dd00

139466956032 has 180 divisors, whose sum is σ = 417383735076. Its totient is φ = 46319247360.

The previous prime is 139466956009. The next prime is 139466956039. The reversal of 139466956032 is 230659664931.

139466956032 is a `hidden beast` number, since 1 + 3 + 9 + 46 + 6 + 9 + 560 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 85114561536 + 54352394496 = 291744^2 + 233136^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 139466956032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139466956039) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5731732 + ... + 5756012.

Almost surely, 2139466956032 is an apocalyptic number.

139466956032 is a gapful number since it is divisible by the number (12) 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 139466956032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208691867538).

139466956032 is an abundant number, since it is smaller than the sum of its proper divisors (277916779044).

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

139466956032 is an equidigital number, since it uses as much as digits as its factorization.

139466956032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24586 (or 24563 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 139466956032 in words is "one hundred thirty-nine billion, four hundred sixty-six million, nine hundred fifty-six thousand, thirty-two".