Search a number
-
+
23250046064202 = 23219315873735923
BaseRepresentation
bin1010100100101010100101…
…01111001001011001001010
310001022200102200111221102200
411102111102233021121022
511021412043243023302
6121240531304341030
74616521546531506
oct522252257113112
9101280380457380
1023250046064202
11745431a96a751
122736021474776
13cc86155b0639
145a5445b17306
152a4bc149281c
hex152552bc964a

23250046064202 has 96 divisors (see below), whose sum is σ = 54830213867520. Its totient is φ = 7093170946080.

The previous prime is 23250046064131. The next prime is 23250046064227. The reversal of 23250046064202 is 20246064005232.

23250046064202 is a `hidden beast` number, since 2 + 3 + 2 + 5 + 0 + 0 + 4 + 6 + 0 + 642 + 0 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4355413 + ... + 8091335.

It is an arithmetic number, because the mean of its divisors is an integer number (571148061120).

Almost surely, 223250046064202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23250046064202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27415106933760).

23250046064202 is an abundant number, since it is smaller than the sum of its proper divisors (31580167803318).

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

23250046064202 is a wasteful number, since it uses less digits than its factorization.

23250046064202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3736568 (or 3736565 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 23250046064202 in words is "twenty-three trillion, two hundred fifty billion, forty-six million, sixty-four thousand, two hundred two".

Divisors: 1 2 3 6 9 18 19 31 38 57 62 93 114 171 186 279 342 558 587 589 1174 1178 1761 1767 3522 3534 5283 5301 10566 10602 11153 18197 22306 33459 36394 54591 66918 100377 109182 163773 200754 327546 345743 691486 1037229 2074458 3111687 3735923 6223374 7471846 11207769 22415538 33623307 67246614 70982537 115813613 141965074 212947611 231627226 347440839 425895222 638842833 694881678 1042322517 1277685666 2084645034 2192986801 2200458647 4385973602 4400917294 6578960403 6601375941 13157920806 13202751882 19736881209 19804127823 39473762418 39608255646 41666749219 67982590831 83333498438 125000247657 135965181662 203947772493 250000495314 375000742971 407895544986 611843317479 750001485942 1223686634958 1291669225789 2583338451578 3875007677367 7750015354734 11625023032101 23250046064202