Search a number
-
+
157989322064 = 2473183548239
BaseRepresentation
bin1001001100100011100…
…1011011110101010000
3120002210112210010101202
42103020321123311100
510042030231301224
6200325043250332
714262060036260
oct2231071336520
9502715703352
10157989322064
1161003943062
12267523799a8
1311b8a824272
14790a8797a0
15419a1baeae
hex24c8e5bd50

157989322064 has 80 divisors (see below), whose sum is σ = 365469941760. Its totient is φ = 64735943040.

The previous prime is 157989322019. The next prime is 157989322087. The reversal of 157989322064 is 460223989751.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14057 + ... + 562295.

It is an arithmetic number, because the mean of its divisors is an integer number (4568374272).

It is a 1-persistent number, because it is pandigital, but 2⋅157989322064 = 315978644128 is not.

Almost surely, 2157989322064 is an apocalyptic number.

157989322064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157989322064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182734970880).

157989322064 is an abundant number, since it is smaller than the sum of its proper divisors (207480619696).

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

157989322064 is a wasteful number, since it uses less digits than its factorization.

157989322064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548368 (or 548362 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 56.

The spelling of 157989322064 in words is "one hundred fifty-seven billion, nine hundred eighty-nine million, three hundred twenty-two thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 83 112 124 166 217 248 332 434 496 581 664 868 1162 1328 1736 2324 2573 3472 4648 5146 9296 10292 18011 20584 36022 41168 72044 144088 288176 548239 1096478 2192956 3837673 4385912 7675346 8771824 15350692 16995409 30701384 33990818 45503837 61402768 67981636 91007674 118967863 135963272 182015348 237935726 271926544 318526859 364030696 475871452 637053718 728061392 951742904 1274107436 1410618947 1903485808 2548214872 2821237894 5096429744 5642475788 9874332629 11284951576 19748665258 22569903152 39497330516 78994661032 157989322064