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380248882368 = 26319791319429
BaseRepresentation
bin1011000100010001001…
…10010111110011000000
31100100111012100122011120
411202020212113303000
522212222203213433
6450403421112240
736320631112455
oct5421046276300
91310435318146
10380248882368
11137298643393
12618406b8680
1329b1b6a44a4
1414592d8582c
159d579407b3
hex5888997cc0

380248882368 has 112 divisors (see below), whose sum is σ = 1072432704000. Its totient is φ = 118558522368.

The previous prime is 380248882367. The next prime is 380248882379. The reversal of 380248882368 is 863288842083.

It is a super-2 number, since 2×3802488823682 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (380248882361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 371523 + ... + 947906.

It is an arithmetic number, because the mean of its divisors is an integer number (9575292000).

Almost surely, 2380248882368 is an apocalyptic number.

380248882368 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

380248882368 is an abundant number, since it is smaller than the sum of its proper divisors (692183821632).

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

380248882368 is a wasteful number, since it uses less digits than its factorization.

380248882368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319542 (or 1319532 counting only the distinct ones).

The product of its (nonzero) digits is 28311552, while the sum is 60.

The spelling of 380248882368 in words is "three hundred eighty billion, two hundred forty-eight million, eight hundred eighty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 79 96 114 152 158 192 228 237 304 316 456 474 608 632 912 948 1216 1264 1501 1824 1896 2528 3002 3648 3792 4503 5056 6004 7584 9006 12008 15168 18012 24016 36024 48032 72048 96064 144096 288192 1319429 2638858 3958287 5277716 7916574 10555432 15833148 21110864 25069151 31666296 42221728 50138302 63332592 75207453 84443456 100276604 104234891 126665184 150414906 200553208 208469782 253330368 300829812 312704673 401106416 416939564 601659624 625409346 802212832 833879128 1203319248 1250818692 1604425664 1667758256 1980462929 2406638496 2501637384 3335516512 3960925858 4813276992 5003274768 5941388787 6671033024 7921851716 10006549536 11882777574 15843703432 20013099072 23765555148 31687406864 47531110296 63374813728 95062220592 126749627456 190124441184 380248882368