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425949949524 = 2231119509333667
BaseRepresentation
bin1100011001011001001…
…10000110111001010100
31111201110011222101120110
412030230212012321110
523434321141341044
6523402333403020
742526302555351
oct6145446067124
91451404871513
10425949949524
1115470a707580
126a675939470
1331222909668
141688a789628
15b12ebb26b9
hex632c986e54

425949949524 has 96 divisors (see below), whose sum is σ = 1143546969600. Its totient is φ = 122041676160.

The previous prime is 425949949517. The next prime is 425949949547.

It is a happy number.

425949949524 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1109739 + ... + 1443405.

It is an arithmetic number, because the mean of its divisors is an integer number (11911947600).

Almost surely, 2425949949524 is an apocalyptic number.

425949949524 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425949949524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571773484800).

425949949524 is an abundant number, since it is smaller than the sum of its proper divisors (717597020076).

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

425949949524 is a wasteful number, since it uses less digits than its factorization.

425949949524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334213 (or 334211 counting only the distinct ones).

The product of its digits is 167961600, while the sum is 66.

It can be divided in two parts, 425 and 949949524, that added together give a palindrome (949949949).

The spelling of 425949949524 in words is "four hundred twenty-five billion, nine hundred forty-nine million, nine hundred forty-nine thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 509 627 836 1018 1254 1527 2036 2508 3054 5599 6108 9671 11198 16797 19342 22396 29013 33594 38684 58026 67188 106381 116052 212762 319143 333667 425524 638286 667334 1001001 1276572 1334668 2002002 3670337 4004004 6339673 7340674 11011011 12679346 14681348 19019019 22022022 25358692 38038038 44044044 69736403 76076076 139472806 169836503 209209209 278945612 339673006 418418418 509509509 679346012 836836836 1019019018 1868201533 2038038036 3226893557 3736403066 5604604599 6453787114 7472806132 9680680671 11209209198 12907574228 19361361342 22418418396 35495829127 38722722684 70991658254 106487487381 141983316508 212974974762 425949949524