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403074066780 = 2233571127135771
BaseRepresentation
bin1011101110110010001…
…01100010100101011100
31102112101220222010212000
411313121011202211130
523100443430114110
6505100352042300
741056360015560
oct5673105424534
91375356863760
10403074066780
11145a40891260
1266150833390
132c018486478
141571a5696a0
15a74171d1c0
hex5dd916295c

403074066780 has 384 divisors, whose sum is σ = 1569251819520. Its totient is φ = 83444256000.

The previous prime is 403074066751. The next prime is 403074066803. The reversal of 403074066780 is 87660470304.

It is a super-3 number, since 3×4030740667803 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11250295 + ... + 11286065.

It is an arithmetic number, because the mean of its divisors is an integer number (4086593280).

Almost surely, 2403074066780 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 403074066780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784625909760).

403074066780 is an abundant number, since it is smaller than the sum of its proper divisors (1166177752740).

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

403074066780 is a wasteful number, since it uses less digits than its factorization.

403074066780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36078 (or 36070 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 403074066780 in words is "four hundred three billion, seventy-four million, sixty-six thousand, seven hundred eighty".