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102478278336 = 2637617317123
BaseRepresentation
bin101111101110000101…
…1100110111011000000
3100210111212221221000020
41133130023212323000
53134333414401321
6115024453053440
710255335664530
oct1373413467300
9323455857006
10102478278336
113a508353315
1217a3b927280
1398820a4c25
144d622594c0
1529ebac44c6
hex17dc2e6ec0

102478278336 has 224 divisors, whose sum is σ = 319287802368. Its totient is φ = 28403343360.

The previous prime is 102478278307. The next prime is 102478278341. The reversal of 102478278336 is 633872874201.

102478278336 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5976271 + ... + 5993393.

Almost surely, 2102478278336 is an apocalyptic number.

102478278336 is a gapful number since it is divisible by the number (16) 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 102478278336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159643901184).

102478278336 is an abundant number, since it is smaller than the sum of its proper divisors (216809524032).

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

102478278336 is a wasteful number, since it uses less digits than its factorization.

102478278336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17279 (or 17269 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 102478278336 in words is "one hundred two billion, four hundred seventy-eight million, two hundred seventy-eight thousand, three hundred thirty-six".