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252667427430 = 235113759350737
BaseRepresentation
bin1110101101010000100…
…1101111101001100110
3220011011211100012122210
43223110021233221212
513114430330134210
6312023535504250
724153222461055
oct3532411575146
9804154305583
10252667427430
11981791a2a30
1240b75988086
131aa988ac712
14c32cba639c
15688c0b7e20
hex3ad426fa66

252667427430 has 128 divisors (see below), whose sum is σ = 690925800960. Its totient is φ = 58586941440.

The previous prime is 252667427423. The next prime is 252667427447. The reversal of 252667427430 is 34724766252.

It is a self number, because there is not a number n which added to its sum of digits gives 252667427430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 545022 + ... + 895758.

It is an arithmetic number, because the mean of its divisors is an integer number (5397857820).

Almost surely, 2252667427430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252667427430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345462900480).

252667427430 is an abundant number, since it is smaller than the sum of its proper divisors (438258373530).

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

252667427430 is a wasteful number, since it uses less digits than its factorization.

252667427430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350854.

The product of its (nonzero) digits is 3386880, while the sum is 48.

The spelling of 252667427430 in words is "two hundred fifty-two billion, six hundred sixty-seven million, four hundred twenty-seven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 59 66 74 110 111 118 165 177 185 222 295 330 354 370 407 555 590 649 814 885 1110 1221 1298 1770 1947 2035 2183 2442 3245 3894 4070 4366 6105 6490 6549 9735 10915 12210 13098 19470 21830 24013 32745 48026 65490 72039 120065 144078 240130 350737 360195 701474 720390 1052211 1753685 2104422 3507370 3858107 5261055 7716214 10522110 11574321 12977269 19290535 20693483 23148642 25954538 38581070 38931807 41386966 57871605 62080449 64886345 77863614 103467415 115743210 124160898 129772690 142749959 194659035 206934830 227628313 285499918 310402245 389318070 428249877 455256626 620804490 682884939 713749795 765658871 856499754 1138141565 1365769878 1427499590 1531317742 2141249385 2276283130 2296976613 3414424695 3828294355 4282498770 4593953226 6828849390 7656588710 8422247581 11484883065 16844495162 22969766130 25266742743 42111237905 50533485486 84222475810 126333713715 252667427430