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380498287968 = 2535411193473
BaseRepresentation
bin1011000100101110111…
…01110001110101100000
31100101010120122202100000
411202113131301311200
522213230030203333
6450444250500000
736330050040501
oct5422735616540
91311116582300
10380498287968
11137406400517
12618b0134600
1329b5b269476
14145b8148ba8
159d6e7a8713
hex5897771d60

380498287968 has 144 divisors (see below), whose sum is σ = 1149487322256. Its totient is φ = 123739176960.

The previous prime is 380498287943. The next prime is 380498287969. The reversal of 380498287968 is 869782894083.

380498287968 is a `hidden beast` number, since 3 + 8 + 0 + 498 + 2 + 8 + 79 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 380498287896 and 380498287905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380498287969) 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, 277921 + ... + 915552.

It is an arithmetic number, because the mean of its divisors is an integer number (7982550849).

Almost surely, 2380498287968 is an apocalyptic number.

It is an amenable number.

380498287968 is an abundant number, since it is smaller than the sum of its proper divisors (768989034288).

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

380498287968 is a wasteful number, since it uses less digits than its factorization.

380498287968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193539 (or 1193519 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 380498287968 in words is "three hundred eighty billion, four hundred ninety-eight million, two hundred eighty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 72 81 82 96 108 123 144 162 164 216 243 246 288 324 328 369 432 486 492 648 656 738 864 972 984 1107 1296 1312 1476 1944 1968 2214 2592 2952 3321 3888 3936 4428 5904 6642 7776 8856 9963 11808 13284 17712 19926 26568 35424 39852 53136 79704 106272 159408 318816 1193473 2386946 3580419 4773892 7160838 9547784 10741257 14321676 19095568 21482514 28643352 32223771 38191136 42965028 48932393 57286704 64447542 85930056 96671313 97864786 114573408 128895084 146797179 171860112 193342626 195729572 257790168 290013939 293594358 343720224 386685252 391459144 440391537 515580336 580027878 587188716 773370504 782918288 880783074 1031160672 1160055756 1174377432 1321174611 1546741008 1565836576 1761566148 2320111512 2348754864 2642349222 3093482016 3523132296 3963523833 4640223024 4697509728 5284698444 7046264592 7927047666 9280446048 10569396888 11890571499 14092529184 15854095332 21138793776 23781142998 31708190664 42277587552 47562285996 63416381328 95124571992 126832762656 190249143984 380498287968