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800935340072 = 237101463305849
BaseRepresentation
bin10111010011110110111…
…01110110100000101000
32211120100120010221100112
423221323131312200220
5101110303421340242
61411540011553452
7111602632030010
oct13517335664050
92746316127315
10800935340072
1128974713461a
1210b28775b888
135a6b299783a
142aaa0680c40
1515c7a49ec82
hexba7b776828

800935340072 has 64 divisors (see below), whose sum is σ = 1737032256000. Its totient is φ = 339124262400.

The previous prime is 800935340059. The next prime is 800935340081. The reversal of 800935340072 is 270043539008.

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, 2465804 + ... + 2771652.

It is an arithmetic number, because the mean of its divisors is an integer number (27141129000).

Almost surely, 2800935340072 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 800935340072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868516128000).

800935340072 is an abundant number, since it is smaller than the sum of its proper divisors (936096915928).

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

800935340072 is a wasteful number, since it uses less digits than its factorization.

800935340072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306426 (or 306422 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The spelling of 800935340072 in words is "eight hundred billion, nine hundred thirty-five million, three hundred forty thousand, seventy-two".

Divisors: 1 2 4 7 8 14 28 56 101 202 404 463 707 808 926 1414 1852 2828 3241 3704 5656 6482 12964 25928 46763 93526 187052 305849 327341 374104 611698 654682 1223396 1309364 2140943 2446792 2618728 4281886 8563772 17127544 30890749 61781498 123562996 141608087 216235243 247125992 283216174 432470486 566432348 864940972 991256609 1132864696 1729881944 1982513218 3965026436 7930052872 14302416787 28604833574 57209667148 100116917509 114419334296 200233835018 400467670036 800935340072