Search a number
-
+
20069176248 = 2334116742023
BaseRepresentation
bin10010101100001101…
…110101001110111000
31220210122200210020000
4102230031311032320
5312100202114443
613115240033000
71310222116632
oct225415651670
956718623200
1020069176248
118569588180
123a81162760
131b7ab18524
14d85571a52
157c6d828d3
hex4ac3753b8

20069176248 has 160 divisors (see below), whose sum is σ = 62239224960. Its totient is φ = 5990656320.

The previous prime is 20069176241. The next prime is 20069176261. The reversal of 20069176248 is 84267196002.

It is a happy number.

20069176248 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 9 + 17 + 624 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20069176241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 456565 + ... + 498587.

It is an arithmetic number, because the mean of its divisors is an integer number (388995156).

Almost surely, 220069176248 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 20069176248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31119612480).

20069176248 is an abundant number, since it is smaller than the sum of its proper divisors (42170048712).

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

20069176248 is a wasteful number, since it uses less digits than its factorization.

20069176248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42119 (or 42106 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 20069176248 in words is "twenty billion, sixty-nine million, one hundred seventy-six thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 67 72 81 88 99 108 132 134 162 198 201 216 264 268 297 324 396 402 536 594 603 648 737 792 804 891 1188 1206 1474 1608 1782 1809 2211 2376 2412 2948 3564 3618 4422 4824 5427 5896 6633 7128 7236 8844 10854 13266 14472 17688 19899 21708 26532 39798 42023 43416 53064 59697 79596 84046 119394 126069 159192 168092 238788 252138 336184 378207 462253 477576 504276 756414 924506 1008552 1134621 1386759 1512828 1849012 2269242 2773518 2815541 3025656 3403863 3698024 4160277 4538484 5547036 5631082 6807726 8320554 8446623 9076968 11094072 11262164 12480831 13615452 16641108 16893246 22524328 24961662 25339869 27230904 30970951 33282216 33786492 37442493 49923324 50679738 61941902 67572984 74884986 76019607 92912853 99846648 101359476 123883804 149769972 152039214 185825706 202718952 228058821 247767608 278738559 299539944 304078428 371651412 456117642 557477118 608156856 743302824 836215677 912235284 1114954236 1672431354 1824470568 2229908472 2508647031 3344862708 5017294062 6689725416 10034588124 20069176248