Search a number
-
+
10393878738978 = 233737743163073
BaseRepresentation
bin1001011101000000001101…
…1100110011100000100010
31100210122102021120100022000
42113100003130303200202
52330243130424121403
634034514301224430
72121635001364260
oct227200334634042
940718367510260
1010393878738978
113348023642409
1211ba4a0b62116
135a51a5551c07
1427d0d0359430
1513057e24e7a3
hex97403733822

10393878738978 has 64 divisors (see below), whose sum is σ = 27110588939520. Its totient is φ = 2889418023936.

The previous prime is 10393878738953. The next prime is 10393878739007. The reversal of 10393878738978 is 87983787839301.

10393878738978 is a `hidden beast` number, since 1 + 0 + 3 + 93 + 8 + 7 + 87 + 389 + 78 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10393878738897 and 10393878738906.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371567551 + ... + 371595522.

It is an arithmetic number, because the mean of its divisors is an integer number (423602952180).

Almost surely, 210393878738978 is an apocalyptic number.

10393878738978 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10393878738978 is an abundant number, since it is smaller than the sum of its proper divisors (16716710200542).

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

10393878738978 is a wasteful number, since it uses less digits than its factorization.

10393878738978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743163128 (or 743163122 counting only the distinct ones).

The product of its (nonzero) digits is 3072577536, while the sum is 81.

The spelling of 10393878738978 in words is "ten trillion, three hundred ninety-three billion, eight hundred seventy-eight million, seven hundred thirty-eight thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 74 111 126 189 222 259 333 378 518 666 777 999 1554 1998 2331 4662 6993 13986 743163073 1486326146 2229489219 4458978438 5202141511 6688467657 10404283022 13376935314 15606424533 20065402971 27497033701 31212849066 40130805942 46819273599 54994067402 82491101103 93638547198 140457820797 164982202206 192479235907 247473303309 280915641594 384958471814 494946606618 577437707721 742419909927 1154875415442 1484839819854 1732313123163 3464626246326 5196939369489 10393878738978