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6997234274080 = 255373173728597
BaseRepresentation
bin110010111010010101110…
…1010011100111100100000
3220202221002021202112122221
41211310223222130330200
51404120313433232310
622514252434240424
71321350662661301
oct145645352347440
926687067675587
106997234274080
11225856836a546
1295013b726114
133b9ab463b90b
141a294cbb47a8
15c20329d4ada
hex65d2ba9cf20

6997234274080 has 96 divisors (see below), whose sum is σ = 17031310971696. Its totient is φ = 2714656518144.

The previous prime is 6997234274077. The next prime is 6997234274111. The reversal of 6997234274080 is 804724327996.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2403876597136 + 4593357676944 = 1550444^2 + 2143212^2 .

It is a super-2 number, since 2×69972342740802 (a number of 26 digits) contains 22 as substring.

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, 12342 + ... + 3740938.

Almost surely, 26997234274080 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 6997234274080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8515655485848).

6997234274080 is an abundant number, since it is smaller than the sum of its proper divisors (10034076697616).

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

6997234274080 is a wasteful number, since it uses less digits than its factorization.

6997234274080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3728966 (or 3728958 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 61.

The spelling of 6997234274080 in words is "six trillion, nine hundred ninety-seven billion, two hundred thirty-four million, two hundred seventy-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 317 370 592 634 740 1184 1268 1480 1585 2536 2960 3170 5072 5920 6340 10144 11729 12680 23458 25360 46916 50720 58645 93832 117290 187664 234580 375328 469160 938320 1876640 3728597 7457194 14914388 18642985 29828776 37285970 59657552 74571940 119315104 137958089 149143880 275916178 298287760 551832356 596575520 689790445 1103664712 1181965249 1379580890 2207329424 2363930498 2759161780 4414658848 4727860996 5518323560 5909826245 9455721992 11036647120 11819652490 18911443984 22073294240 23639304980 37822887968 43732714213 47278609960 87465428426 94557219920 174930856852 189114439840 218663571065 349861713704 437327142130 699723427408 874654284260 1399446854816 1749308568520 3498617137040 6997234274080