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109698739264 = 2619221792
BaseRepresentation
bin110011000101010001…
…1011110110001000000
3101111011002112100100001
41212022203132301000
53244130334124024
6122221144405344
710632302620162
oct1461243366100
9344132470301
10109698739264
11425830954a4
1219315a76854
13a462c7a30a
1454491a2932
152cc093a244
hex198a8dec40

109698739264 has 63 divisors (see below), whose sum is σ = 229848943527. Its totient is φ = 51938713728.

The previous prime is 109698739261. The next prime is 109698739273. The reversal of 109698739264 is 462937896901.

The square root of 109698739264 is 331208.

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

It is a super-2 number, since 2×1096987392642 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 109698739196 and 109698739205.

It is not an unprimeable number, because it can be changed into a prime (109698739261) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 50342527 + ... + 50344705.

It is an arithmetic number, because the mean of its divisors is an integer number (3648395929).

Almost surely, 2109698739264 is an apocalyptic number.

109698739264 is the 331208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109698739264

109698739264 is an abundant number, since it is smaller than the sum of its proper divisors (120150204263).

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

109698739264 is an frugal number, since it uses more digits than its factorization.

109698739264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4408 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 64.

Multiplying 109698739264 by its sum of digits (64), we get a square (7020719312896 = 26496642).

109698739264 divided by its sum of digits (64) gives a square (1714042801 = 414012).

The spelling of 109698739264 in words is "one hundred nine billion, six hundred ninety-eight million, seven hundred thirty-nine thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 361 608 722 1216 1444 2179 2888 4358 5776 8716 11552 17432 23104 34864 41401 69728 82802 139456 165604 331208 662416 786619 1324832 1573238 2649664 3146476 4748041 6292952 9496082 12585904 18992164 25171808 37984328 50343616 75968656 90212779 151937312 180425558 303874624 360851116 721702232 1443404464 1714042801 2886808928 3428085602 5773617856 6856171204 13712342408 27424684816 54849369632 109698739264