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403379680704 = 263711132179497
BaseRepresentation
bin1011101111010110100…
…11010111010111000000
31102120012020000221100020
411313223103113113000
523102110144240304
6505150550253440
741100060466350
oct5675323272700
91376166027306
10403379680704
1114608834a550
1266217057280
132c06689b600
1415748da0b60
15a75d48a5d9
hex5deb4d75c0

403379680704 has 672 divisors, whose sum is σ = 1525775740416. Its totient is φ = 91015741440.

The previous prime is 403379680679. The next prime is 403379680729. The reversal of 403379680704 is 407086973304.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (403379680679) and next prime (403379680729).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42469684 + ... + 42479180.

Almost surely, 2403379680704 is an apocalyptic number.

403379680704 is a gapful number since it is divisible by the number (44) 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 403379680704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762887870208).

403379680704 is an abundant number, since it is smaller than the sum of its proper divisors (1122396059712).

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

403379680704 is a wasteful number, since it uses less digits than its factorization.

403379680704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9573 (or 9550 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 51.

The spelling of 403379680704 in words is "four hundred three billion, three hundred seventy-nine million, six hundred eighty thousand, seven hundred four".