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13550145152 = 27239641691
BaseRepresentation
bin11001001111010011…
…01100111010000000
31021222022222200201212
430213221230322000
5210222314121102
610120322345252
7656533222235
oct144751547200
937868880655
1013550145152
115823781675
122761abb228
13137c36328b
1492785578c
155448c2c52
hex327a6ce80

13550145152 has 64 divisors (see below), whose sum is σ = 27188956800. Its totient is φ = 6726451200.

The previous prime is 13550145131. The next prime is 13550145173. The reversal of 13550145152 is 25154105531.

It is an interprime number because it is at equal distance from previous prime (13550145131) and next prime (13550145173).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19609127 + ... + 19609817.

It is an arithmetic number, because the mean of its divisors is an integer number (424827450).

Almost surely, 213550145152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13550145152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13594478400).

13550145152 is an abundant number, since it is smaller than the sum of its proper divisors (13638811648).

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

13550145152 is an equidigital number, since it uses as much as digits as its factorization.

13550145152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 32.

The spelling of 13550145152 in words is "thirteen billion, five hundred fifty million, one hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 239 478 641 691 956 1282 1382 1912 2564 2764 3824 5128 5528 7648 10256 11056 15296 20512 22112 30592 41024 44224 82048 88448 153199 165149 306398 330298 442931 612796 660596 885862 1225592 1321192 1771724 2451184 2642384 3543448 4902368 5284768 7086896 9804736 10569536 14173792 19609472 21139072 28347584 56695168 105860509 211721018 423442036 846884072 1693768144 3387536288 6775072576 13550145152