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9364116516864 = 21231381551813
BaseRepresentation
bin1000100001000100000011…
…0101101011000000000000
31020011012102101021101101020
42020101000311223000000
52211410202312014424
631525452111105440
71654351352045334
oct210210065530000
936135371241336
109364116516864
112a9033271953a
1210729b3812280
1352c056244875
142453232c17c4
151138aebcc079
hex88440d6b000

9364116516864 has 104 divisors (see below), whose sum is σ = 24986054044272. Its totient is φ = 3119106293760.

The previous prime is 9364116516823. The next prime is 9364116516883. The reversal of 9364116516864 is 4686156114639.

It is a super-4 number, since 4×93641165168644 (a number of 53 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9364116516798 and 9364116516807.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16693822 + ... + 17245634.

Almost surely, 29364116516864 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 9364116516864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12493027022136).

9364116516864 is an abundant number, since it is smaller than the sum of its proper divisors (15621937527408).

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

9364116516864 is a wasteful number, since it uses less digits than its factorization.

9364116516864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553221 (or 553199 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 60.

The spelling of 9364116516864 in words is "nine trillion, three hundred sixty-four billion, one hundred sixteen million, five hundred sixteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1381 1536 2048 2762 3072 4096 4143 5524 6144 8286 11048 12288 16572 22096 33144 44192 66288 88384 132576 176768 265152 353536 530304 551813 707072 1060608 1103626 1414144 1655439 2121216 2207252 2828288 3310878 4242432 4414504 5656576 6621756 8484864 8829008 13243512 16969728 17658016 26487024 35316032 52974048 70632064 105948096 141264128 211896192 282528256 423792384 565056512 762053753 847584768 1130113024 1524107506 1695169536 2260226048 2286161259 3048215012 3390339072 4572322518 6096430024 6780678144 9144645036 12192860048 18289290072 24385720096 36578580144 48771440192 73157160288 97542880384 146314320576 195085760768 292628641152 390171521536 585257282304 780343043072 1170514564608 1560686086144 2341029129216 3121372172288 4682058258432 9364116516864