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157103283456 = 2833737127691
BaseRepresentation
bin1001001001010000010…
…1011101110100000000
3120000111210112200221000
42102110011131310000
510033221420032311
6200101112332000
714231110606320
oct2222405356400
9500453480830
10157103283456
1160699787149
12265456a4000
1311a790a8572
147864d15280
1541474eb056
hex249415dd00

157103283456 has 576 divisors, whose sum is σ = 550390005760. Its totient is φ = 43266908160.

The previous prime is 157103283437. The next prime is 157103283457. The reversal of 157103283456 is 654382301751.

It is a happy number.

157103283456 is a `hidden beast` number, since 1 + 571 + 0 + 3 + 28 + 3 + 4 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157103283457) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 227356071 + ... + 227356761.

Almost surely, 2157103283456 is an apocalyptic number.

157103283456 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 157103283456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275195002880).

157103283456 is an abundant number, since it is smaller than the sum of its proper divisors (393286722304).

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

157103283456 is a wasteful number, since it uses less digits than its factorization.

157103283456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 157103283456 in words is "one hundred fifty-seven billion, one hundred three million, two hundred eighty-three thousand, four hundred fifty-six".