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31642973296 = 24112531372251
BaseRepresentation
bin11101011110000100…
…010111010001110000
310000200020211121000221
4131132010113101300
51004301100121141
622311522422424
72200066556314
oct353604272160
9100606747027
1031642973296
11124686a7200
126171201a14
132ca3895b4c
141762727b44
15c52eb5bd1
hex75e117470

31642973296 has 120 divisors (see below), whose sum is σ = 69191790192. Its totient is φ = 14002560000.

The previous prime is 31642973267. The next prime is 31642973309. The reversal of 31642973296 is 69237924613.

It is a happy number.

It is a super-2 number, since 2×316429732962 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14056171 + ... + 14058421.

Almost surely, 231642973296 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 31642973296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34595895096).

31642973296 is an abundant number, since it is smaller than the sum of its proper divisors (37548816896).

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

31642973296 is a wasteful number, since it uses less digits than its factorization.

31642973296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2471 (or 2454 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 52.

The spelling of 31642973296 in words is "thirty-one billion, six hundred forty-two million, nine hundred seventy-three thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 44 53 88 106 121 137 176 212 242 274 424 484 548 583 848 968 1096 1166 1507 1936 2192 2251 2332 3014 4502 4664 6028 6413 7261 9004 9328 12056 12826 14522 16577 18008 24112 24761 25652 29044 33154 36016 49522 51304 58088 66308 79871 99044 102608 116176 119303 132616 159742 198088 238606 265232 272371 308387 319484 396176 477212 544742 616774 638968 878581 954424 1089484 1233548 1277936 1312333 1757162 1908848 2178968 2467096 2624666 3392257 3514324 4357936 4934192 5249332 6784514 7028648 10498664 13569028 14057296 14435663 16344511 20997328 27138056 28871326 32689022 37314827 54276112 57742652 65378044 74629654 115485304 130756088 149259308 179789621 230970608 261512176 298518616 359579242 597037232 719158484 1438316968 1977685831 2876633936 3955371662 7910743324 15821486648 31642973296