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16872233742 = 2347134492549
BaseRepresentation
bin11111011011010100…
…11101101100001110
31121112212002021120000
433231222131230032
5234023242434432
611430114305130
71135052422560
oct175552355416
947485067500
1016872233742
117178a32a31
12332a5881a6
13178b6aa580
14b60b41330
1568b38a57c
hex3eda9db0e

16872233742 has 160 divisors (see below), whose sum is σ = 46652760000. Its totient is φ = 4438167552.

The previous prime is 16872233711. The next prime is 16872233753. The reversal of 16872233742 is 24733227861.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6617884 + ... + 6620432.

It is an arithmetic number, because the mean of its divisors is an integer number (291579750).

Almost surely, 216872233742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16872233742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23326380000).

16872233742 is an abundant number, since it is smaller than the sum of its proper divisors (29780526258).

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

16872233742 is a wasteful number, since it uses less digits than its factorization.

16872233742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3032 (or 3023 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The spelling of 16872233742 in words is "sixteen billion, eight hundred seventy-two million, two hundred thirty-three thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 117 126 162 182 189 234 273 351 378 449 546 567 702 819 898 1053 1134 1347 1638 2106 2457 2549 2694 3143 4041 4914 5098 5837 6286 7371 7647 8082 9429 11674 12123 14742 15294 17511 17843 18858 22941 24246 28287 33137 35022 35686 36369 40859 45882 52533 53529 56574 66274 68823 72738 81718 84861 99411 105066 107058 122577 137646 157599 160587 169722 198822 206469 231959 245154 254583 298233 315198 321174 367731 412938 463918 472797 481761 509166 596466 695877 735462 894699 945594 963522 1103193 1144501 1391754 1445283 1789398 2087631 2206386 2289002 2684097 2890566 3309579 3433503 4175262 5368194 6262893 6619158 6867006 8011507 10300509 12525786 14878513 16023014 18788679 20601018 24034521 29757026 30901527 37577358 44635539 48069042 61803054 72103563 89271078 92704581 104149591 133906617 144207126 185409162 208299182 216310689 267813234 312448773 401719851 432621378 624897546 648932067 803439702 937346319 1205159553 1297864134 1874692638 2410319106 2812038957 5624077914 8436116871 16872233742