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11376729936 = 243411131723157
BaseRepresentation
bin10101001100001101…
…10001111101010000
31002100212022202120000
422212012301331100
5141244420324221
65120522450000
7551632415565
oct124606617520
932325282500
1011376729936
11490895a650
122256063900
1310c3cac280
1479cd3886c
15468ba7e26
hex2a61b1f50

11376729936 has 800 divisors, whose sum is σ = 43012747008. Its totient is φ = 2846638080.

The previous prime is 11376729853. The next prime is 11376729941. The reversal of 11376729936 is 63992767311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 72463170 + ... + 72463326.

Almost surely, 211376729936 is an apocalyptic number.

11376729936 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 11376729936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21506373504).

11376729936 is an abundant number, since it is smaller than the sum of its proper divisors (31636017072).

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

11376729936 is a wasteful number, since it uses less digits than its factorization.

11376729936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 226 counting only the distinct ones).

The product of its digits is 2571912, while the sum is 54.

The spelling of 11376729936 in words is "eleven billion, three hundred seventy-six million, seven hundred twenty-nine thousand, nine hundred thirty-six".