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31816297344 = 273137189767
BaseRepresentation
bin11101101000011001…
…100010101110000000
310001010022222100221010
4131220121202232000
51010124433003334
622341033400520
72204303031246
oct355031425600
9101108870833
1031816297344
111254751a117
1261bb269140
133000770160
14177b764796
15c633010e9
hex768662b80

31816297344 has 128 divisors (see below), whose sum is σ = 92295866880. Its totient is φ = 9651640320.

The previous prime is 31816297333. The next prime is 31816297361. The reversal of 31816297344 is 44379261813.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 31816297293 and 31816297302.

It is a congruent number.

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, 309549 + ... + 399315.

It is an arithmetic number, because the mean of its divisors is an integer number (721061460).

Almost surely, 231816297344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31816297344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46147933440).

31816297344 is an abundant number, since it is smaller than the sum of its proper divisors (60479569536).

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

31816297344 is a wasteful number, since it uses less digits than its factorization.

31816297344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89868 (or 89856 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The spelling of 31816297344 in words is "thirty-one billion, eight hundred sixteen million, two hundred ninety-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 71 78 96 104 128 142 156 192 208 213 284 312 384 416 426 568 624 832 852 923 1136 1248 1664 1704 1846 2272 2496 2769 3408 3692 4544 4992 5538 6816 7384 9088 11076 13632 14768 22152 27264 29536 44304 59072 88608 89767 118144 177216 179534 269301 354432 359068 538602 718136 1077204 1166971 1436272 2154408 2333942 2872544 3500913 4308816 4667884 5745088 6373457 7001826 8617632 9335768 11490176 12746914 14003652 17235264 18671536 19120371 25493828 28007304 34470528 37343072 38240742 50987656 56014608 74686144 76481484 82854941 101975312 112029216 149372288 152962968 165709882 203950624 224058432 248564823 305925936 331419764 407901248 448116864 497129646 611851872 662839528 815802496 994259292 1223703744 1325679056 1988518584 2447407488 2651358112 3977037168 5302716224 7954074336 10605432448 15908148672 31816297344