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102398653885284 = 22361873932
BaseRepresentation
bin10111010010000110001011…
…011000111110101101100100
3111102120012211020210001000000
4113102012023120332231210
5101410144420343312114
61001441143040021300
730366026046564531
oct2722061330765544
9442505736701000
10102398653885284
112a69a030655459
12b599666001830
13451a1c8185863
141b4019ab7bd88
15bc8955de6e09
hex5d218b63eb64

102398653885284 has 63 divisors (see below), whose sum is σ = 268674993722793. Its totient is φ = 34132702482432.

The previous prime is 102398653885243. The next prime is 102398653885331. The reversal of 102398653885284 is 482588356893201.

The square root of 102398653885284 is 10119222.

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

102398653885284 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 9 + 8 + 6 + 538 + 8 + 5 + 2 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 84734050112100 + 17664603773184 = 9205110^2 + 4202928^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 546344292 + ... + 546531684.

Almost surely, 2102398653885284 is an apocalyptic number.

102398653885284 is the 10119222-nd square number.

It is an amenable number.

102398653885284 is an abundant number, since it is smaller than the sum of its proper divisors (166276339837509).

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

102398653885284 is an frugal number, since it uses more digits than its factorization.

102398653885284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374808 (or 187398 counting only the distinct ones).

The product of its (nonzero) digits is 796262400, while the sum is 72.

The spelling of 102398653885284 in words is "one hundred two trillion, three hundred ninety-eight billion, six hundred fifty-three million, eight hundred eighty-five thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 187393 374786 562179 749572 1124358 1686537 2248716 3373074 5059611 6746148 10119222 15178833 20238444 30357666 45536499 60715332 91072998 136609497 182145996 273218994 546437988 35116136449 70232272898 105348409347 140464545796 210696818694 316045228041 421393637388 632090456082 948135684123 1264180912164 1896271368246 2844407052369 3792542736492 5688814104738 8533221157107 11377628209476 17066442314214 25599663471321 34132884628428 51199326942642 102398653885284