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11555377680 = 243571141101151
BaseRepresentation
bin10101100001100000…
…10001001000010000
31002211022111000012010
422300300101020100
5142131134041210
65150343502520
7556232042520
oct126060211020
932738430163
1011555377680
11499a789310
1222a5a57a40
131121ccb7b2
147b895d680
154796e5920
hex2b0c11210

11555377680 has 640 divisors, whose sum is σ = 46509023232. Its totient is φ = 2304000000.

The previous prime is 11555377667. The next prime is 11555377697. The reversal of 11555377680 is 8677355511.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76525605 + ... + 76525755.

Almost surely, 211555377680 is an apocalyptic number.

11555377680 is a gapful number since it is divisible by the number (10) 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 11555377680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23254511616).

11555377680 is an abundant number, since it is smaller than the sum of its proper divisors (34953645552).

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

11555377680 is a wasteful number, since it uses less digits than its factorization.

11555377680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 48.

The spelling of 11555377680 in words is "eleven billion, five hundred fifty-five million, three hundred seventy-seven thousand, six hundred eighty".