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21376765407336 = 23331157183007717
BaseRepresentation
bin1001101110001001010101…
…00000100011000001101000
32210200121011112110200220120
410313010222200203001220
510300214103421013321
6113244203410523240
74334264113630503
oct467045240430150
983617145420816
1021376765407336
1168a1920865a29
122492b63596520
13bc0a88351c11
1453c8d8b5013a
152710d32e6ec6
hex13712a823068

21376765407336 has 64 divisors (see below), whose sum is σ = 55517221332480. Its totient is φ = 6851808887040.

The previous prime is 21376765407331. The next prime is 21376765407337. The reversal of 21376765407336 is 63370456767312.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21376765407336.

It is not an unprimeable number, because it can be changed into a prime (21376765407331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91387051 + ... + 91620666.

It is an arithmetic number, because the mean of its divisors is an integer number (867456583320).

Almost surely, 221376765407336 is an apocalyptic number.

It is an amenable number.

21376765407336 is an abundant number, since it is smaller than the sum of its proper divisors (34140455925144).

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

21376765407336 is a wasteful number, since it uses less digits than its factorization.

21376765407336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183007914 (or 183007910 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 60.

The spelling of 21376765407336 in words is "twenty-one trillion, three hundred seventy-six billion, seven hundred sixty-five million, four hundred seven thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 157 186 248 314 372 471 628 744 942 1256 1884 3768 4867 9734 14601 19468 29202 38936 58404 116808 183007717 366015434 549023151 732030868 1098046302 1464061736 2196092604 4392185208 5673239227 11346478454 17019717681 22692956908 28732211569 34039435362 45385913816 57464423138 68078870724 86196634707 114928846276 136157741448 172393269414 229857692552 344786538828 689573077656 890698558639 1781397117278 2672095675917 3562794234556 5344191351834 7125588469112 10688382703668 21376765407336