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380200014252 = 2232149571124133
BaseRepresentation
bin1011000100001011010…
…11111101000110101100
31100100100210101212201100
411202011223331012230
522212122200424002
6450354513443100
736316465541022
oct5420553750654
91310323355640
10380200014252
11137272aa6013
1261828270490
1329b11524346
141458a6a4712
159d534db11c
hex5885afd1ac

380200014252 has 72 divisors (see below), whose sum is σ = 969213445200. Its totient is φ = 125661306240.

The previous prime is 380200014199. The next prime is 380200014253. The reversal of 380200014252 is 252410002083.

380200014252 is a `hidden beast` number, since 38 + 0 + 200 + 0 + 1 + 425 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (380200014253) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3000778 + ... + 3124910.

It is an arithmetic number, because the mean of its divisors is an integer number (13461297850).

Almost surely, 2380200014252 is an apocalyptic number.

It is an amenable number.

380200014252 is an abundant number, since it is smaller than the sum of its proper divisors (589013430948).

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

380200014252 is a wasteful number, since it uses less digits than its factorization.

380200014252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124863 (or 124858 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 380200014252 in words is "three hundred eighty billion, two hundred million, fourteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 149 298 447 571 596 894 1142 1341 1713 1788 2284 2682 3426 5139 5364 6852 10278 20556 85079 124133 170158 248266 255237 340316 372399 496532 510474 744798 765711 1020948 1117197 1489596 1531422 2234394 3062844 4468788 18495817 36991634 55487451 70879943 73983268 110974902 141759886 166462353 212639829 221949804 283519772 332924706 425279658 637919487 665849412 850559316 1275838974 2551677948 10561111507 21122223014 31683334521 42244446028 63366669042 95050003563 126733338084 190100007126 380200014252