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72834219132 = 22313713922293
BaseRepresentation
bin100001111010101000…
…0011111110001111100
320221222221102200121120
41003311100133301330
52143131030003012
653243134030540
75155620435123
oct1036520376174
9227887380546
1072834219132
1128986021934
1212148048450
136b396960ac
14374d1c6aba
151d6435958c
hex10f541fc7c

72834219132 has 72 divisors (see below), whose sum is σ = 172502615376. Its totient is φ = 23917038336.

The previous prime is 72834219103. The next prime is 72834219149. The reversal of 72834219132 is 23191243827.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31762578 + ... + 31764870.

It is an arithmetic number, because the mean of its divisors is an integer number (2395869658).

Almost surely, 272834219132 is an apocalyptic number.

It is an amenable number.

72834219132 is an abundant number, since it is smaller than the sum of its proper divisors (99668396244).

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

72834219132 is a wasteful number, since it uses less digits than its factorization.

72834219132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2715 (or 2574 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The spelling of 72834219132 in words is "seventy-two billion, eight hundred thirty-four million, two hundred nineteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 137 139 274 278 411 417 548 556 822 834 1644 1668 2293 4586 6879 9172 13758 19043 19321 27516 38086 38642 57129 57963 76172 77284 114258 115926 228516 231852 314141 318727 628282 637454 942423 956181 1256564 1274908 1884846 1912362 2646977 3769692 3824724 5293954 7940931 10587908 15881862 31763724 43665599 44303053 87331198 88606106 130996797 132909159 174662396 177212212 261993594 265818318 523987188 531636636 6069518261 12139036522 18208554783 24278073044 36417109566 72834219132