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700743106816 = 2811324632
BaseRepresentation
bin10100011001001111000…
…10110100000100000000
32110222201222210010122121
422030213202310010000
542440110213404231
61253530020414024
7101425032062464
oct12144742640400
92428658703577
10700743106816
11250202240865
12b3985547314
13511063c000c
1425cb7ca04a4
1513364442311
hexa3278b4100

700743106816 has 81 divisors (see below), whose sum is σ = 1414291398429. Its totient is φ = 346520875008.

The previous prime is 700743106787. The next prime is 700743106859. The reversal of 700743106816 is 618601347007.

The square root of 700743106816 is 837104.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 12347654400 + 688395452416 = 111120^2 + 829696^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1513483801 + ... + 1513484263.

Almost surely, 2700743106816 is an apocalyptic number.

700743106816 is the 837104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 700743106816

700743106816 is an abundant number, since it is smaller than the sum of its proper divisors (713548291613).

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

700743106816 is an frugal number, since it uses more digits than its factorization.

700743106816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 43.

The spelling of 700743106816 in words is "seven hundred billion, seven hundred forty-three million, one hundred six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 64 113 128 226 256 452 463 904 926 1808 1852 3616 3704 7232 7408 12769 14464 14816 25538 28928 29632 51076 52319 59264 102152 104638 118528 204304 209276 214369 408608 418552 428738 817216 837104 857476 1634432 1674208 1714952 3268864 3348416 3429904 5912047 6696832 6859808 11824094 13393664 13719616 23648188 24223697 27439232 47296376 48447394 54878464 94592752 96894788 189185504 193789576 378371008 387579152 756742016 775158304 1513484032 1550316608 2737277761 3100633216 5474555522 6201266432 10949111044 21898222088 43796444176 87592888352 175185776704 350371553408 700743106816