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85797070848 = 211328952301
BaseRepresentation
bin100111111100111100…
…1110110100000000000
322012110100022210012200
41033321321312200000
52401203022231343
6103225320553200
76125063032536
oct1177171664000
9265410283180
1085797070848
1133428234225
1214765322800
13812415c258
14421ca42156
1523723be4d3
hex13f9e76800

85797070848 has 144 divisors (see below), whose sum is σ = 250586727300. Its totient is φ = 28277145600.

The previous prime is 85797070829. The next prime is 85797070873. The reversal of 85797070848 is 84807079758.

It can be written as a sum of positive squares in 2 ways, for example, as 85338768384 + 458302464 = 292128^2 + 21408^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×857970708482 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1614298 + ... + 1666598.

Almost surely, 285797070848 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 85797070848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125293363650).

85797070848 is an abundant number, since it is smaller than the sum of its proper divisors (164789656452).

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

85797070848 is a wasteful number, since it uses less digits than its factorization.

85797070848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52418 (or 52395 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 63.

The spelling of 85797070848 in words is "eighty-five billion, seven hundred ninety-seven million, seventy thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 89 96 128 144 178 192 256 267 288 356 384 512 534 576 712 768 801 1024 1068 1152 1424 1536 1602 2048 2136 2304 2848 3072 3204 4272 4608 5696 6144 6408 8544 9216 11392 12816 17088 18432 22784 25632 34176 45568 51264 52301 68352 91136 102528 104602 136704 156903 182272 205056 209204 273408 313806 410112 418408 470709 546816 627612 820224 836816 941418 1255224 1640448 1673632 1882836 2510448 3347264 3765672 4654789 5020896 6694528 7531344 9309578 10041792 13389056 13964367 15062688 18619156 20083584 26778112 27928734 30125376 37238312 40167168 41893101 53556224 55857468 60250752 74476624 80334336 83786202 107112448 111714936 120501504 148953248 160668672 167572404 223429872 241003008 297906496 321337344 335144808 446859744 482006016 595812992 670289616 893719488 964012032 1191625984 1340579232 1787438976 2383251968 2681158464 3574877952 4766503936 5362316928 7149755904 9533007872 10724633856 14299511808 21449267712 28599023616 42898535424 85797070848