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775245385464 = 2331159132737507
BaseRepresentation
bin10110100100000000011…
…10011100111011111000
32202010001011222000202020
423102000032130323320
5100200200304313324
61352050503034440
7110003206023114
oct13220016347370
92663034860666
10775245385464
1127986389a480
121062b813ba20
135814a52b374
1429744816744
1515274e41679
hexb48039cef8

775245385464 has 128 divisors (see below), whose sum is σ = 2151818956800. Its totient is φ = 230760915840.

The previous prime is 775245385451. The next prime is 775245385477. The reversal of 775245385464 is 464583542577.

It is an interprime number because it is at equal distance from previous prime (775245385451) and next prime (775245385477).

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 junction number, because it is equal to n+sod(n) for n = 775245385398 and 775245385407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20650599 + ... + 20688105.

It is an arithmetic number, because the mean of its divisors is an integer number (16811085600).

Almost surely, 2775245385464 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 775245385464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075909478400).

775245385464 is an abundant number, since it is smaller than the sum of its proper divisors (1376573571336).

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

775245385464 is a wasteful number, since it uses less digits than its factorization.

775245385464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38913 (or 38909 counting only the distinct ones).

The product of its digits is 112896000, while the sum is 60.

The spelling of 775245385464 in words is "seven hundred seventy-five billion, two hundred forty-five million, three hundred eighty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 59 66 88 118 132 177 236 264 354 472 649 708 1298 1327 1416 1947 2596 2654 3894 3981 5192 5308 7788 7962 10616 14597 15576 15924 29194 31848 37507 43791 58388 75014 78293 87582 112521 116776 150028 156586 175164 225042 234879 300056 313172 350328 412577 450084 469758 626344 825154 861223 900168 939516 1237731 1650308 1722446 1879032 2212913 2475462 2583669 3300616 3444892 4425826 4950924 5167338 6638739 6889784 8851652 9901848 10334676 13277478 17703304 20669352 24342043 26554956 48684086 49771789 53109912 73026129 97368172 99543578 146052258 149315367 194736344 199087156 292104516 298630734 398174312 547489679 584209032 597261468 1094979358 1194522936 1642469037 2189958716 2936535551 3284938074 4379917432 5873071102 6569876148 8809606653 11746142204 13139752296 17619213306 23492284408 32301891061 35238426612 64603782122 70476853224 96905673183 129207564244 193811346366 258415128488 387622692732 775245385464