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380375808880 = 245109431101209
BaseRepresentation
bin1011000100100000010…
…10100011101101110000
31100100211001012011121111
411202100022203231300
522213002201341010
6450424153403104
736324032012554
oct5422012435560
91310731164544
10380375808880
11137353256131
1261877109494
1329b3ba85032
14145a5b85864
159d63b6358a
hex58902a3b70

380375808880 has 80 divisors (see below), whose sum is σ = 894566851200. Its totient is φ = 150403184640.

The previous prime is 380375808871. The next prime is 380375808971. The reversal of 380375808880 is 88808573083.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3803758088802 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3707716 + ... + 3808924.

It is an arithmetic number, because the mean of its divisors is an integer number (11182085640).

Almost surely, 2380375808880 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 380375808880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447283425600).

380375808880 is an abundant number, since it is smaller than the sum of its proper divisors (514191042320).

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

380375808880 is a wasteful number, since it uses less digits than its factorization.

380375808880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101762 (or 101756 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 58.

The spelling of 380375808880 in words is "three hundred eighty billion, three hundred seventy-five million, eight hundred eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 218 431 436 545 862 872 1090 1724 1744 2155 2180 3448 4310 4360 6896 8620 8720 17240 34480 46979 93958 101209 187916 202418 234895 375832 404836 469790 506045 751664 809672 939580 1012090 1619344 1879160 2024180 3758320 4048360 8096720 11031781 22063562 43621079 44127124 55158905 87242158 88254248 110317810 174484316 176508496 218105395 220635620 348968632 436210790 441271240 697937264 872421580 882542480 1744843160 3489686320 4754697611 9509395222 19018790444 23773488055 38037580888 47546976110 76075161776 95093952220 190187904440 380375808880