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5033414532224 = 271313812190361
BaseRepresentation
bin100100100111110111011…
…1000101001110010000000
3122211012010022110020102202
41021033232320221302000
51124431413110012344
614412152501532332
71026436463412341
oct111175670516200
918735108406382
105033414532224
111670728312151
126936144140a8
132a685899c920
141358934a20c8
158ade5ec394e
hex493eee29c80

5033414532224 has 64 divisors (see below), whose sum is σ = 10806676613880. Its totient is φ = 2321431142400.

The previous prime is 5033414532217. The next prime is 5033414532239. The reversal of 5033414532224 is 4222354143305.

It can be written as a sum of positive squares in 4 ways, for example, as 4473563406400 + 559851125824 = 2115080^2 + 748232^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1202804 + ... + 3393164.

Almost surely, 25033414532224 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 5033414532224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5403338306940).

5033414532224 is an abundant number, since it is smaller than the sum of its proper divisors (5773262081656).

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

5033414532224 is a wasteful number, since it uses less digits than its factorization.

5033414532224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2191769 (or 2191757 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 38.

Adding to 5033414532224 its reverse (4222354143305), we get a palindrome (9255768675529).

The spelling of 5033414532224 in words is "five trillion, thirty-three billion, four hundred fourteen million, five hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1381 1664 2762 5524 11048 17953 22096 35906 44192 71812 88384 143624 176768 287248 574496 1148992 2190361 2297984 4380722 8761444 17522888 28474693 35045776 56949386 70091552 113898772 140183104 227797544 280366208 455595088 911190176 1822380352 3024888541 3644760704 6049777082 12099554164 24199108328 39323551033 48398216656 78647102066 96796433312 157294204132 193592866624 314588408264 387185733248 629176816528 1258353633056 2516707266112 5033414532224