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505252003572 = 223237967392263
BaseRepresentation
bin1110101101000110101…
…11011011111011110100
31210022010212210010201100
413112203113123323310
531234224003103242
61024035355530100
751334421112201
oct7264327337364
91708125703640
10505252003572
11185304647518
1281b07a59930
1338850270cb4
141a650962ca8
15d221c6754c
hex75a35dbef4

505252003572 has 72 divisors (see below), whose sum is σ = 1313042546816. Its totient is φ = 163695639744.

The previous prime is 505252003567. The next prime is 505252003577. The reversal of 505252003572 is 275300252505.

505252003572 is a `hidden beast` number, since 50 + 5 + 252 + 0 + 0 + 357 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (505252003567) and next prime (505252003577).

It is a super-2 number, since 2×5052520035722 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505252003577) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1091913 + ... + 1484175.

Almost surely, 2505252003572 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 505252003572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656521273408).

505252003572 is an abundant number, since it is smaller than the sum of its proper divisors (807790543244).

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

505252003572 is a wasteful number, since it uses less digits than its factorization.

505252003572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393277 (or 393272 counting only the distinct ones).

The product of its (nonzero) digits is 105000, while the sum is 36.

The spelling of 505252003572 in words is "five hundred five billion, two hundred fifty-two million, three thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 967 1332 1934 2901 3868 5802 8703 11604 17406 34812 35779 71558 107337 143116 214674 322011 392263 429348 644022 784526 1176789 1288044 1569052 2353578 3530367 4707156 7060734 14121468 14513731 29027462 43541193 58054924 87082386 130623579 174164772 261247158 379318321 522494316 758636642 1137954963 1517273284 2275909926 3413864889 4551819852 6827729778 13655459556 14034777877 28069555754 42104333631 56139111508 84208667262 126313000893 168417334524 252626001786 505252003572