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8198418170944 = 26716
BaseRepresentation
bin111011101001101011111…
…0011011000010001000000
31002000202112212011211211101
41313103113303120101000
52033310330022432234
625234145030024144
71504213305433561
oct167232763302100
932022485154741
108198418170944
112680a253638a1
12b04aa97a8054
134761522a02c1
14204b3c63a168
15e33d65c9814
hex774d7cd8440

8198418170944 has 49 divisors (see below), whose sum is σ = 16501146573079. Its totient is φ = 4041473746240.

The previous prime is 8198418170941. The next prime is 8198418170951. The reversal of 8198418170944 is 4490718148918.

The square root of 8198418170944 is 2863288.

The cubic root of 8198418170944 is 20164.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It is a super-2 number, since 2×81984181709442 (a number of 27 digits) contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8198418170941) by changing a digit.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 115470678429 + ... + 115470678499.

Almost surely, 28198418170944 is an apocalyptic number.

8198418170944 is the 2863288-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8198418170944

8198418170944 is an abundant number, since it is smaller than the sum of its proper divisors (8302728402135).

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

8198418170944 is an frugal number, since it uses more digits than its factorization.

8198418170944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 64.

Multiplying 8198418170944 by its sum of digits (64), we get a 6-th power (524698762940416 = 2846).

8198418170944 divided by its sum of digits (64) gives a 6-th power (128100283921 = 716).

The spelling of 8198418170944 in words is "eight trillion, one hundred ninety-eight billion, four hundred eighteen million, one hundred seventy thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 64 71 142 284 568 1136 2272 4544 5041 10082 20164 40328 80656 161312 322624 357911 715822 1431644 2863288 5726576 11453152 22906304 25411681 50823362 101646724 203293448 406586896 813173792 1626347584 1804229351 3608458702 7216917404 14433834808 28867669616 57735339232 115470678464 128100283921 256200567842 512401135684 1024802271368 2049604542736 4099209085472 8198418170944