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11421614952 = 23341123137127
BaseRepresentation
bin10101010001100100…
…00000001101101000
31002110222210011020000
422220302000031220
5141342413134302
65125204503000
7553016060646
oct125062001550
932428704200
1011421614952
114931227400
1222690aaa60
131100396457
147a4ca0196
1546cac231c
hex2a8c80368

11421614952 has 480 divisors, whose sum is σ = 37572648960. Its totient is φ = 3233260800.

The previous prime is 11421614947. The next prime is 11421614969. The reversal of 11421614952 is 25941612411.

11421614952 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 161 + 495 + 2 = 666.

It is a super-2 number, since 2×114216149522 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 89933913 + ... + 89934039.

It is an arithmetic number, because the mean of its divisors is an integer number (78276352).

Almost surely, 211421614952 is an apocalyptic number.

11421614952 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 11421614952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18786324480).

11421614952 is an abundant number, since it is smaller than the sum of its proper divisors (26151034008).

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

11421614952 is a wasteful number, since it uses less digits than its factorization.

11421614952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 211 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The spelling of 11421614952 in words is "eleven billion, four hundred twenty-one million, six hundred fourteen thousand, nine hundred fifty-two".