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13652114490 = 2335731389599
BaseRepresentation
bin11001011011011101…
…01011110000111010
31022020102212021101000
430231232223300322
5210424420130430
610134404105430
7662212026030
oct145556536072
938212767330
1013652114490
115876298753
122790095276
131397516271
149371da550
1554d815e60
hex32dbabc3a

13652114490 has 256 divisors, whose sum is σ = 43130880000. Its totient is φ = 3007031040.

The previous prime is 13652114461. The next prime is 13652114533. The reversal of 13652114490 is 9441125631.

It is a happy number.

13652114490 is a `hidden beast` number, since 1 + 3 + 6 + 52 + 114 + 490 = 666.

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, 22791211 + ... + 22791809.

It is an arithmetic number, because the mean of its divisors is an integer number (168480000).

Almost surely, 213652114490 is an apocalyptic number.

13652114490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13652114490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21565440000).

13652114490 is an abundant number, since it is smaller than the sum of its proper divisors (29478765510).

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

13652114490 is a wasteful number, since it uses less digits than its factorization.

13652114490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 13652114490 in words is "thirteen billion, six hundred fifty-two million, one hundred fourteen thousand, four hundred ninety".