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19434435090 = 23572572931229
BaseRepresentation
bin10010000110011000…
…011111001000010010
31212011102022121001020
4102012120133020102
5304300203410330
612532243220310
71255413654420
oct220630371022
955142277036
1019434435090
118273260804
123924677696
131aa9477945
14d25144110
1578b2a1210
hex48661f212

19434435090 has 128 divisors (see below), whose sum is σ = 53739624960. Its totient is φ = 4406181888.

The previous prime is 19434435047. The next prime is 19434435103. The reversal of 19434435090 is 9053443491.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 15812596 + ... + 15813824.

It is an arithmetic number, because the mean of its divisors is an integer number (419840820).

Almost surely, 219434435090 is an apocalyptic number.

19434435090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19434435090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26869812480).

19434435090 is an abundant number, since it is smaller than the sum of its proper divisors (34305189870).

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

19434435090 is a wasteful number, since it uses less digits than its factorization.

19434435090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796.

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 19434435090 in words is "nineteen billion, four hundred thirty-four million, four hundred thirty-five thousand, ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 257 293 514 586 771 879 1229 1285 1465 1542 1758 1799 2051 2458 2570 2930 3598 3687 3855 4102 4395 5397 6145 6153 7374 7710 8603 8790 8995 10255 10794 12290 12306 17206 17990 18435 20510 25809 26985 30765 36870 43015 51618 53970 61530 75301 86030 129045 150602 225903 258090 315853 360097 376505 451806 527107 631706 720194 753010 947559 1054214 1080291 1129515 1579265 1581321 1800485 1895118 2160582 2210971 2259030 2520679 2635535 3158530 3162642 3600970 4421942 4737795 5041358 5271070 5401455 6632913 7562037 7906605 9475590 10802910 11054855 12603395 13265826 15124074 15813210 22109710 25206790 33164565 37810185 66329130 75620370 92544929 185089858 277634787 462724645 555269574 647814503 925449290 1295629006 1388173935 1943443509 2776347870 3239072515 3886887018 6478145030 9717217545 19434435090