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139790776320 = 21133513192389
BaseRepresentation
bin1000001000110000101…
…1011111100000000000
3111100211021000012211000
42002030023133200000
54242242414320240
6144115145252000
713046100664506
oct2021413374000
9440737005730
10139790776320
1154315281308
1223113794000
131024a4285c0
146aa1928676
153982694430
hex208c2df800

139790776320 has 1536 divisors, whose sum is σ = 594397440000. Its totient is φ = 30831280128.

The previous prime is 139790776303. The next prime is 139790776327. The reversal of 139790776320 is 23677097931.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×1397907763202 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139790776327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1570682836 + ... + 1570682924.

It is an arithmetic number, because the mean of its divisors is an integer number (386977500).

Almost surely, 2139790776320 is an apocalyptic number.

139790776320 is a gapful number since it is divisible by the number (10) 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 139790776320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297198720000).

139790776320 is an abundant number, since it is smaller than the sum of its proper divisors (454606663680).

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

139790776320 is a wasteful number, since it uses less digits than its factorization.

139790776320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 3000564, while the sum is 54.

The spelling of 139790776320 in words is "one hundred thirty-nine billion, seven hundred ninety million, seven hundred seventy-six thousand, three hundred twenty".