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13972201451208 = 233272111322130379
BaseRepresentation
bin1100101101010010100000…
…0110101010111011001000
31211110201200202001100201100
43023110220012222323020
53312410032032414313
645414423555421400
72641313114523600
oct313245006527310
954421622040640
1013972201451208
1144a7639512520
121697aa5bb4860
137a475a9aac00
1436438855bc00
151936b06cb173
hexcb5281aaec8

13972201451208 has 432 divisors, whose sum is σ = 51999465445200. Its totient is φ = 3349976797440.

The previous prime is 13972201450981. The next prime is 13972201451267. The reversal of 13972201451208 is 80215410227931.

13972201451208 is a `hidden beast` number, since 1 + 39 + 72 + 20 + 14 + 512 + 0 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5493363 + ... + 7623741.

It is an arithmetic number, because the mean of its divisors is an integer number (120369132975).

Almost surely, 213972201451208 is an apocalyptic number.

13972201451208 is a gapful number since it is divisible by the number (18) 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 13972201451208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25999732722600).

13972201451208 is an abundant number, since it is smaller than the sum of its proper divisors (38027263993992).

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

13972201451208 is a wasteful number, since it uses less digits than its factorization.

13972201451208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2130442 (or 2130415 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 13972201451208 in words is "thirteen trillion, nine hundred seventy-two billion, two hundred one million, four hundred fifty-one thousand, two hundred eight".