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74737430430 = 235131921314733
BaseRepresentation
bin100010110011010110…
…0101010111110011110
321010220120122211200220
41011212230222332132
52211030240233210
654200042302210
75254030451115
oct1054654527636
9233816584626
1074737430430
1129772370733
12125994b7966
137080a82520
14388dc88c7c
151e2649dc70
hex1166b2af9e

74737430430 has 128 divisors (see below), whose sum is σ = 203472622080. Its totient is φ = 17416788480.

The previous prime is 74737430419. The next prime is 74737430491. The reversal of 74737430430 is 3403473747.

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, 15788344 + ... + 15793076.

It is an arithmetic number, because the mean of its divisors is an integer number (1589629860).

Almost surely, 274737430430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74737430430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101736311040).

74737430430 is an abundant number, since it is smaller than the sum of its proper divisors (128735191650).

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

74737430430 is a wasteful number, since it uses less digits than its factorization.

74737430430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6906.

The product of its (nonzero) digits is 592704, while the sum is 42.

The spelling of 74737430430 in words is "seventy-four billion, seven hundred thirty-seven million, four hundred thirty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 95 114 130 190 195 247 285 390 494 570 741 1235 1482 2131 2470 3705 4262 4733 6393 7410 9466 10655 12786 14199 21310 23665 27703 28398 31965 40489 47330 55406 61529 63930 70995 80978 83109 89927 121467 123058 138515 141990 166218 179854 184587 202445 242934 269781 277030 307645 369174 404890 415545 449635 526357 539562 607335 615290 831090 899270 922935 1052714 1169051 1214670 1348905 1579071 1845870 2338102 2631785 2697810 3158142 3507153 5263570 5845255 7014306 7895355 10086023 11690510 15790710 17535765 20172046 30258069 35071530 50430115 60516138 100860230 131118299 151290345 191634437 262236598 302580690 383268874 393354897 574903311 655591495 786709794 958172185 1149806622 1311182990 1916344370 1966774485 2491247681 2874516555 3933548970 4982495362 5749033110 7473743043 12456238405 14947486086 24912476810 37368715215 74737430430