Search a number
-
+
34552544432 = 24721073471187
BaseRepresentation
bin100000001011011111…
…011111110010110000
310022012000201010021212
4200023133133302300
51031230422410212
623512340535252
72332146532100
oct401337376260
9108160633255
1034552544432
111372101304a
1268436b1528
133348608183
14195ad11200
15d73645e22
hex80b7dfcb0

34552544432 has 120 divisors (see below), whose sum is σ = 78896182464. Its totient is φ = 14615239296.

The previous prime is 34552544431. The next prime is 34552544441. The reversal of 34552544432 is 23444525543.

It is a self number, because there is not a number n which added to its sum of digits gives 34552544432.

It is not an unprimeable number, because it can be changed into a prime (34552544431) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 29108543 + ... + 29109729.

Almost surely, 234552544432 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 34552544432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39448091232).

34552544432 is an abundant number, since it is smaller than the sum of its proper divisors (44343638032).

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

34552544432 is a wasteful number, since it uses less digits than its factorization.

34552544432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663 (or 1650 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 41.

The spelling of 34552544432 in words is "thirty-four billion, five hundred fifty-two million, five hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 107 112 196 214 347 392 428 694 749 784 856 1187 1388 1498 1712 2374 2429 2776 2996 4748 4858 5243 5552 5992 8309 9496 9716 10486 11984 16618 17003 18992 19432 20972 33236 34006 37129 38864 41944 58163 66472 68012 74258 83888 116326 127009 132944 136024 148516 232652 254018 259903 272048 297032 411889 465304 508036 519806 594064 823778 889063 930608 1016072 1039612 1647556 1778126 1819321 2032144 2079224 2883223 3295112 3556252 3638642 4158448 5766446 6223441 6590224 7112504 7277284 11532892 12446882 14225008 14554568 20182561 23065784 24893764 29109136 40365122 44072123 46131568 49787528 80730244 88144246 99575056 161460488 176288492 308504861 322920976 352576984 617009722 705153968 1234019444 2159534027 2468038888 4319068054 4936077776 8638136108 17276272216 34552544432