Search a number
-
+
31152843392 = 2711316531093
BaseRepresentation
bin11101000000110110…
…101010101010000000
32222102002120102012112
4131000312222222000
51002300111442032
622151133314452
72151665541206
oct350066525200
988362512175
1031152843392
1112236a71370
126055035a28
132c26188458
1417175c1076
15c24e4c1b2
hex740daaa80

31152843392 has 128 divisors (see below), whose sum is σ = 70059409920. Its totient is φ = 13670092800.

The previous prime is 31152843307. The next prime is 31152843401. The reversal of 31152843392 is 29334825113.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28501598 + ... + 28502690.

It is an arithmetic number, because the mean of its divisors is an integer number (547339140).

Almost surely, 231152843392 is an apocalyptic number.

31152843392 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31152843392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35029704960).

31152843392 is an abundant number, since it is smaller than the sum of its proper divisors (38906566528).

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

31152843392 is a wasteful number, since it uses less digits than its factorization.

31152843392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802 (or 1790 counting only the distinct ones).

The product of its digits is 155520, while the sum is 41.

The spelling of 31152843392 in words is "thirty-one billion, one hundred fifty-two million, eight hundred forty-three thousand, three hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 341 352 496 653 682 704 992 1093 1306 1364 1408 1984 2186 2612 2728 3968 4372 5224 5456 7183 8744 10448 10912 12023 14366 17488 20243 20896 21824 24046 28732 33883 34976 40486 41792 43648 48092 57464 67766 69952 80972 83584 96184 114928 135532 139904 161944 192368 222673 229856 271064 323888 372713 384736 445346 459712 542128 647776 713729 745426 769472 890692 919424 1084256 1295552 1427458 1490852 1538944 1781384 2168512 2591104 2854916 2981704 3562768 4337024 5709832 5963408 7125536 7851019 11419664 11926816 14251072 15702038 22125599 22839328 23853632 28502144 31404076 44251198 45678656 47707264 62808152 88502396 91357312 125616304 177004792 243381589 251232608 354009584 486763178 502465216 708019168 973526356 1004930432 1416038336 1947052712 2832076672 3894105424 7788210848 15576421696 31152843392