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8398357632064 = 26151223992
BaseRepresentation
bin111101000110110010100…
…0111111001010001000000
31002201212121222112211121001
41322031211013321101000
52100044314023211224
625510052514341344
71524522063010441
oct172154507712100
932655558484531
108398357632064
1127487a5a36264
12b377a8b8a854
1348bc66bb414a
142106a867d2c8
15e86d9591544
hex7a3651f9440

8398357632064 has 63 divisors (see below), whose sum is σ = 16783585400631. Its totient is φ = 4169630889600.

The previous prime is 8398357632061. The next prime is 8398357632097. The reversal of 8398357632064 is 4602367538938.

The square root of 8398357632064 is 2897992.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8398357631987 and 8398357632005.

It is not an unprimeable number, because it can be changed into a prime (8398357632061) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3500773137 + ... + 3500775535.

Almost surely, 28398357632064 is an apocalyptic number.

8398357632064 is the 2897992-nd square number.

It is an amenable number.

8398357632064 is a deficient number, since it is larger than the sum of its proper divisors (8385227768567).

8398357632064 is an frugal number, since it uses more digits than its factorization.

8398357632064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5112 (or 2552 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 64.

Multiplying 8398357632064 by its sum of digits (64), we get a square (537494888452096 = 231839362).

8398357632064 divided by its sum of digits (64) gives a square (131224338001 = 3622492).

The spelling of 8398357632064 in words is "eight trillion, three hundred ninety-eight billion, three hundred fifty-seven million, six hundred thirty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 151 302 604 1208 2399 2416 4798 4832 9596 9664 19192 22801 38384 45602 76768 91204 153536 182408 362249 364816 724498 729632 1448996 1459264 2897992 5755201 5795984 11510402 11591968 23020804 23183936 46041608 54699599 92083216 109399198 184166432 218798396 368332864 437596792 869035351 875193584 1738070702 1750387168 3476141404 3500774336 6952282808 13904565616 27809131232 55618262464 131224338001 262448676002 524897352004 1049794704008 2099589408016 4199178816032 8398357632064