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380777403864 = 2331113929311939
BaseRepresentation
bin1011000101010000001…
…10100001010111011000
31100101212000212022100210
411202220012201113120
522214313003410424
6450532101131120
736340006346454
oct5425006412730
91311760768323
10380777403864
11137539a10410
12619696b9aa0
1329ba40345c0
1414603243664
159d8903e729
hex58a81a15d8

380777403864 has 128 divisors (see below), whose sum is σ = 1118581228800. Its totient is φ = 106490780160.

The previous prime is 380777403863. The next prime is 380777403899. The reversal of 380777403864 is 468304777083.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380777403863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31887607 + ... + 31899545.

It is an arithmetic number, because the mean of its divisors is an integer number (8738915850).

Almost surely, 2380777403864 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 380777403864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559290614400).

380777403864 is an abundant number, since it is smaller than the sum of its proper divisors (737803824936).

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

380777403864 is a wasteful number, since it uses less digits than its factorization.

380777403864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21265 (or 21261 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 57.

The spelling of 380777403864 in words is "three hundred eighty billion, seven hundred seventy-seven million, four hundred three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1716 3432 9293 11939 18586 23878 27879 35817 37172 47756 55758 71634 74344 95512 102223 111516 120809 131329 143268 155207 204446 223032 241618 262658 286536 306669 310414 362427 393987 408892 465621 483236 525316 613338 620828 724854 787974 817784 931242 966472 1050632 1226676 1241656 1328899 1449708 1575948 1707277 1862484 2453352 2657798 2899416 3151896 3414554 3724968 3986697 5121831 5315596 6829108 7973394 10243662 10631192 13658216 15946788 20487324 31893576 40974648 110949127 221898254 332847381 443796508 665694762 887593016 1220440397 1331389524 1442338651 2440880794 2662779048 2884677302 3661321191 4327015953 4881761588 5769354604 7322642382 8654031906 9763523176 11538709208 14645284764 15865725161 17308063812 29290569528 31731450322 34616127624 47597175483 63462900644 95194350966 126925801288 190388701932 380777403864