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100478149504 = 272927068467
BaseRepresentation
bin101110110010011110…
…1101110001110000000
3100121100111100212001121
41131210331232032000
53121234401241004
6114054203242024
710154641115245
oct1354475561600
9317314325047
10100478149504
1139681328987
1217581b19314
1396238b4045
144c127695cc
1529311d8854
hex1764f6e380

100478149504 has 32 divisors (see below), whose sum is σ = 207073780200. Its totient is φ = 48506691072.

The previous prime is 100478149501. The next prime is 100478149507. The reversal of 100478149504 is 405941874001.

It is an interprime number because it is at equal distance from previous prime (100478149501) and next prime (100478149507).

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100478149501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13530522 + ... + 13537945.

Almost surely, 2100478149504 is an apocalyptic number.

It is an amenable number.

100478149504 is an abundant number, since it is smaller than the sum of its proper divisors (106595630696).

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

100478149504 is an equidigital number, since it uses as much as digits as its factorization.

100478149504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27068510 (or 27068498 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The spelling of 100478149504 in words is "one hundred billion, four hundred seventy-eight million, one hundred forty-nine thousand, five hundred four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1856 3712 27068467 54136934 108273868 216547736 433095472 784985543 866190944 1569971086 1732381888 3139942172 3464763776 6279884344 12559768688 25119537376 50239074752 100478149504