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11397903552 = 263372353773
BaseRepresentation
bin10101001110101111…
…00011010011000000
31002102100011111022000
422213113203103000
5141320330403202
65123000344000
7552310403340
oct124727432300
932370144260
1011397903552
114919901702
122261175000
1310c84b3939
147a1a8ad20
1546a98b91c
hex2a75e34c0

11397903552 has 448 divisors, whose sum is σ = 40766146560. Its totient is φ = 3052228608.

The previous prime is 11397903551. The next prime is 11397903557. The reversal of 11397903552 is 25530979311.

11397903552 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 7 + 90 + 3 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 11397903498 and 11397903507.

It is not an unprimeable number, because it can be changed into a prime (11397903551) 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, 14744638 + ... + 14745410.

Almost surely, 211397903552 is an apocalyptic number.

11397903552 is a gapful number since it is divisible by the number (12) 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 11397903552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20383073280).

11397903552 is an abundant number, since it is smaller than the sum of its proper divisors (29368243008).

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

11397903552 is a wasteful number, since it uses less digits than its factorization.

11397903552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The spelling of 11397903552 in words is "eleven billion, three hundred ninety-seven million, nine hundred three thousand, five hundred fifty-two".