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94192520464 = 24729721132
BaseRepresentation
bin101011110111001001…
…1111100110100010000
3100000010102211211000001
41113232103330310100
53020401241123324
6111134344335344
76543115133200
oct1275623746420
9300112754001
1094192520464
1136a46249839
1216308a74554
138b615ac713
1447b7a48400
1526b447ee44
hex15ee4fcd10

94192520464 has 135 divisors (see below), whose sum is σ = 216419829327. Its totient is φ = 39598497792.

The previous prime is 94192520459. The next prime is 94192520467. The reversal of 94192520464 is 46402529149.

It is a happy number.

The square root of 94192520464 is 306908.

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

It can be written as a sum of positive squares in 4 ways, for example, as 39399074064 + 54793446400 = 198492^2 + 234080^2 .

It is a super-2 number, since 2×941925204642 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (94192520467) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 833562072 + ... + 833562184.

Almost surely, 294192520464 is an apocalyptic number.

94192520464 is the 306908-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94192520464

94192520464 is an abundant number, since it is smaller than the sum of its proper divisors (122227308863).

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

94192520464 is an equidigital number, since it uses as much as digits as its factorization.

94192520464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

It can be divided in two parts, 94192 and 520464, that added together give a 4-th power (614656 = 284).

The spelling of 94192520464 in words is "ninety-four billion, one hundred ninety-two million, five hundred twenty thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 97 98 112 113 194 196 226 388 392 452 679 776 784 791 904 1358 1552 1582 1808 2716 3164 4753 5432 5537 6328 9409 9506 10864 10961 11074 12656 12769 18818 19012 21922 22148 25538 37636 38024 43844 44296 51076 65863 75272 76048 76727 87688 88592 89383 102152 131726 150544 153454 175376 178766 204304 263452 306908 357532 461041 526904 537089 613816 625681 715064 922082 1053808 1063217 1074178 1227632 1238593 1251362 1430128 1844164 2126434 2148356 2477186 2502724 3688328 4252868 4296712 4954372 5005448 7376656 7442519 8505736 8593424 8670151 9908744 10010896 14885038 17011472 17340302 19817488 29770076 34680604 52097633 59540152 60691057 69361208 104195266 119080304 120143521 121382114 138722416 208390532 240287042 242764228 416781064 480574084 485528456 833562128 841004647 961148168 971056912 1682009294 1922296336 3364018588 5887032529 6728037176 11774065058 13456074352 23548130116 47096260232 94192520464