Search a number
-
+
245201150424 = 233418316671801
BaseRepresentation
bin1110010001011100100…
…0001010000111011000
3212102220111020001001210
43210113020022013120
513004132443303144
6304351023343120
723500212250446
oct3442710120730
9772814201053
10245201150424
1194a9772556a
123b631451aa0
131a178acb129
14bc21351b96
1565a1897ab9
hex391720a1d8

245201150424 has 128 divisors (see below), whose sum is σ = 636254196480. Its totient is φ = 78688512000.

The previous prime is 245201150353. The next prime is 245201150489. The reversal of 245201150424 is 424051102542.

It is a junction number, because it is equal to n+sod(n) for n = 245201150391 and 245201150400.

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, 136146324 + ... + 136148124.

It is an arithmetic number, because the mean of its divisors is an integer number (4970735910).

Almost surely, 2245201150424 is an apocalyptic number.

245201150424 is a gapful number since it is divisible by the number (24) 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 245201150424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318127098240).

245201150424 is an abundant number, since it is smaller than the sum of its proper divisors (391053046056).

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

245201150424 is a wasteful number, since it uses less digits than its factorization.

245201150424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3601 (or 3597 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 245201150424 its reverse (424051102542), we get a palindrome (669252252966).

The spelling of 245201150424 in words is "two hundred forty-five billion, two hundred one million, one hundred fifty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 83 123 164 166 246 249 328 332 492 498 664 984 996 1667 1801 1992 3334 3403 3602 5001 5403 6668 6806 7204 10002 10209 10806 13336 13612 14408 20004 20418 21612 27224 40008 40836 43224 68347 73841 81672 136694 138361 147682 149483 205041 221523 273388 276722 295364 298966 410082 415083 443046 448449 546776 553444 590728 597932 820164 830166 886092 896898 1106888 1195864 1640328 1660332 1772184 1793796 3002267 3320664 3587592 5672801 6004534 6128803 9006801 11345602 12009068 12257606 17018403 18013602 18386409 22691204 24018136 24515212 34036806 36027204 36772818 45382408 49030424 68073612 72054408 73545636 123092947 136147224 147091272 246185894 249188161 369278841 492371788 498376322 738557682 747564483 984743576 996752644 1477115364 1495128966 1993505288 2954230728 2990257932 5980515864 10216714601 20433429202 30650143803 40866858404 61300287606 81733716808 122600575212 245201150424