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104270806933376 = 2710323473369787
BaseRepresentation
bin10111101101010101110000…
…011010000101111110000000
3111200012012011211000211002012
4113231111300122011332000
5102131333103033332001
61005433203013112052
730651213541123436
oct2755256032057600
9450165154024065
10104270806933376
11302510011a7aa6
12b84046a328628
134624905917b55
141ba6a3c09ad56
15c0c4ca0a62bb
hex5ed570685f80

104270806933376 has 64 divisors (see below), whose sum is σ = 209833194180480. Its totient is φ = 51607221216768.

The previous prime is 104270806933309. The next prime is 104270806933393. The reversal of 104270806933376 is 673339608072401.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29257955 + ... + 32627741.

It is an arithmetic number, because the mean of its divisors is an integer number (3278643659070).

Almost surely, 2104270806933376 is an apocalyptic number.

104270806933376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104270806933376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104916597090240).

104270806933376 is an abundant number, since it is smaller than the sum of its proper divisors (105562387247104).

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

104270806933376 is a wasteful number, since it uses less digits than its factorization.

104270806933376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3372251 (or 3372239 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 59.

The spelling of 104270806933376 in words is "one hundred four trillion, two hundred seventy billion, eight hundred six million, nine hundred thirty-three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 103 128 206 412 824 1648 2347 3296 4694 6592 9388 13184 18776 37552 75104 150208 241741 300416 483482 966964 1933928 3369787 3867856 6739574 7735712 13479148 15471424 26958296 30942848 53916592 107833184 215666368 347088061 431332736 694176122 1388352244 2776704488 5553408976 7908890089 11106817952 15817780178 22213635904 31635560356 44427271808 63271120712 126542241424 253084482848 506168965696 814615679167 1012337931392 1629231358334 3258462716668 6516925433336 13033850866672 26067701733344 52135403466688 104270806933376