Search a number
-
+
1358183981970 = 2325173312681879
BaseRepresentation
bin10011110000111010000…
…100101110001110010010
311210211201011202222120100
4103300322010232032102
5134223030044410340
62515535140153230
7200061031236024
oct23607204561622
94724634688510
101358183981970
114840034a5002
1219b285098816
139b0cb54673a
1449a44b96014
15254e2008830
hex13c3a12e392

1358183981970 has 96 divisors (see below), whose sum is σ = 3750298081920. Its totient is φ = 339847580160.

The previous prime is 1358183981933. The next prime is 1358183982047. The reversal of 1358183981970 is 791893818531.

1358183981970 is a `hidden beast` number, since 1 + 3 + 58 + 1 + 8 + 398 + 197 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1358183981898 and 1358183981907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 834510 + ... + 1847369.

It is an arithmetic number, because the mean of its divisors is an integer number (39065605020).

Almost surely, 21358183981970 is an apocalyptic number.

1358183981970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1358183981970 is an abundant number, since it is smaller than the sum of its proper divisors (2392114099950).

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

1358183981970 is a wasteful number, since it uses less digits than its factorization.

1358183981970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682240 (or 2682237 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 63.

The spelling of 1358183981970 in words is "one trillion, three hundred fifty-eight billion, one hundred eighty-three million, nine hundred eighty-one thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 331 510 662 765 993 1530 1655 1986 2979 3310 4965 5627 5958 9930 11254 14895 16881 28135 29790 33762 50643 56270 84405 101286 168810 253215 506430 2681879 5363758 8045637 13409395 16091274 24136911 26818790 40228185 45591943 48273822 80456370 91183886 120684555 136775829 227959715 241369110 273551658 410327487 455919430 683879145 820654974 887701949 1367758290 1775403898 2051637435 2663105847 4103274870 4438509745 5326211694 7989317541 8877019490 13315529235 15090933133 15978635082 26631058470 30181866266 39946587705 45272799399 75454665665 79893175410 90545598798 135818398197 150909331330 226363996995 271636796394 452727993990 679091990985 1358183981970