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202970245706432 = 2623641415351797
BaseRepresentation
bin101110001001100110110001…
…011001010011001011000000
3222121122202200101221121111122
4232021212301121103023000
5203100431030400101212
61555403124343131412
760516054621253211
oct5611466131231300
9877582611847448
10202970245706432
115974421a306966
121a920bb0743b68
1389340205c4cc9
143819b52d91408
15186eac6541272
hexb899b16532c0

202970245706432 has 112 divisors (see below), whose sum is σ = 421045930567872. Its totient is φ = 96896078315520.

The previous prime is 202970245706429. The next prime is 202970245706447. The reversal of 202970245706432 is 234607542079202.

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, 3918545558 + ... + 3918597354.

Almost surely, 2202970245706432 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 202970245706432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210522965283936).

202970245706432 is an abundant number, since it is smaller than the sum of its proper divisors (218075684861440).

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

202970245706432 is a wasteful number, since it uses less digits than its factorization.

202970245706432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56626 (or 56616 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 53.

The spelling of 202970245706432 in words is "two hundred two trillion, nine hundred seventy billion, two hundred forty-five million, seven hundred six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 641 736 1282 1472 2564 4153 5128 8306 10256 14743 16612 20512 29486 33224 41024 51797 58972 66448 95519 103594 117944 132896 191038 207188 235888 265792 382076 414376 471776 764152 828752 943552 1191331 1528304 1657504 2382662 2662073 3056608 3315008 4765324 5324146 6113216 9530648 10648292 19061296 21296584 33201877 38122592 42593168 61227679 66403754 76245184 85186336 122455358 132807508 170372672 215112941 244910716 265615016 430225882 489821432 531230032 763643171 860451764 979642864 1062460064 1527286342 1720903528 1959285728 2124920128 3054572684 3441807056 3918571456 4947597643 6109145368 6883614112 9895195286 12218290736 13767228224 19790390572 24436581472 39580781144 48873162944 79161562288 137887395181 158323124576 275774790362 316646249152 551549580724 1103099161448 2206198322896 3171410089163 4412396645792 6342820178326 8824793291584 12685640356652 25371280713304 50742561426608 101485122853216 202970245706432