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755004496428 = 22327138319314387
BaseRepresentation
bin10101111110010011100…
…01100101101000101100
32200011210120011022212100
422333021301211220230
544332222122341203
61334502210335100
7105355500221610
oct12771161455054
92604716138770
10755004496428
1127121739aa06
121023a958a490
1356272c81050
1428784547340
151498ce90ea3
hexafc9c65a2c

755004496428 has 288 divisors, whose sum is σ = 2389686114816. Its totient is φ = 195690110976.

The previous prime is 755004496399. The next prime is 755004496439. The reversal of 755004496428 is 824694400557.

755004496428 is a `hidden beast` number, since 7 + 5 + 500 + 4 + 4 + 96 + 42 + 8 = 666.

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, 52471051 + ... + 52485437.

It is an arithmetic number, because the mean of its divisors is an integer number (8297521232).

Almost surely, 2755004496428 is an apocalyptic number.

755004496428 is a gapful number since it is divisible by the number (78) 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 755004496428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194843057408).

755004496428 is an abundant number, since it is smaller than the sum of its proper divisors (1634681618388).

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

755004496428 is a wasteful number, since it uses less digits than its factorization.

755004496428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14693 (or 14688 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 755004496428 in words is "seven hundred fifty-five billion, four million, four hundred ninety-six thousand, four hundred twenty-eight".