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3123325504 = 2613397229
BaseRepresentation
bin1011101000101010…
…0010101001000000
322001200002101010101
42322022202221000
522344032404004
61233531412144
7140253554155
oct27212425100
98050071111
103123325504
111363043752
12731bb4054
133aa104000
14218b4a22c
15134304ba4
hexba2a2a40

3123325504 has 112 divisors (see below), whose sum is σ = 6812940400. Its totient is φ = 1420443648.

The previous prime is 3123325463. The next prime is 3123325519. The reversal of 3123325504 is 4055233213.

It can be written as a sum of positive squares in 8 ways, for example, as 1432471104 + 1690854400 = 37848^2 + 41120^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13638862 + ... + 13639090.

It is an arithmetic number, because the mean of its divisors is an integer number (60829825).

Almost surely, 23123325504 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 3123325504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3406470200).

3123325504 is an abundant number, since it is smaller than the sum of its proper divisors (3689614896).

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

3123325504 is an equidigital number, since it uses as much as digits as its factorization.

3123325504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The square root of 3123325504 is about 55886.7202830869. The cubic root of 3123325504 is about 1461.7476887970.

Adding to 3123325504 its reverse (4055233213), we get a palindrome (7178558717).

The spelling of 3123325504 in words is "three billion, one hundred twenty-three million, three hundred twenty-five thousand, five hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 97 104 169 194 208 229 338 388 416 458 676 776 832 916 1261 1352 1552 1832 2197 2522 2704 2977 3104 3664 4394 5044 5408 5954 6208 7328 8788 10088 10816 11908 14656 16393 17576 20176 22213 23816 32786 35152 38701 40352 44426 47632 65572 70304 77402 80704 88852 95264 131144 140608 154804 177704 190528 213109 262288 288769 309608 355408 426218 503113 524576 577538 619216 710816 852436 1006226 1049152 1155076 1238432 1421632 1704872 2012452 2310152 2476864 3409744 3753997 4024904 4620304 6819488 7507994 8049808 9240608 13638976 15015988 16099616 18481216 30031976 32199232 48801961 60063952 97603922 120127904 195207844 240255808 390415688 780831376 1561662752 3123325504