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46800084852 = 22338317929167
BaseRepresentation
bin101011100101100000…
…001001111101110100
311110210120121122021000
4223211200021331310
51231321310203402
633255532123300
73244515105033
oct534540117564
9143716548230
1046800084852
1118936478484
1290a1306530
13454ab30a01
14239d76871a
15133d9b1c1c
hexae5809f74

46800084852 has 96 divisors (see below), whose sum is σ = 123485644800. Its totient is φ = 15325449696.

The previous prime is 46800084833. The next prime is 46800084937. The reversal of 46800084852 is 25848000864.

46800084852 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 46800084798 and 46800084807.

It is a congruent number.

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, 1589973 + ... + 1619139.

It is an arithmetic number, because the mean of its divisors is an integer number (1286308800).

Almost surely, 246800084852 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46800084852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61742822400).

46800084852 is an abundant number, since it is smaller than the sum of its proper divisors (76685559948).

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

46800084852 is a wasteful number, since it uses less digits than its factorization.

46800084852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29442 (or 29434 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 46800084852 in words is "forty-six billion, eight hundred million, eighty-four thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 83 108 166 179 249 332 358 498 537 716 747 996 1074 1494 1611 2148 2241 2988 3222 4482 4833 6444 8964 9666 14857 19332 29167 29714 44571 58334 59428 87501 89142 116668 133713 175002 178284 262503 267426 350004 401139 525006 534852 787509 802278 1050012 1575018 1604556 2420861 3150036 4841722 5220893 7262583 9683444 10441786 14525166 15662679 20883572 21787749 29050332 31325358 43575498 46988037 62650716 65363247 87150996 93976074 130726494 140964111 187952148 261452988 281928222 433334119 563856444 866668238 1300002357 1733336476 2600004714 3900007071 5200009428 7800014142 11700021213 15600028284 23400042426 46800084852