Search a number
-
+
1220699961504 = 253259287924953
BaseRepresentation
bin10001110000110111011…
…000110011100010100000
311022200211200100002220100
4101300313120303202200
5124444443142232004
62332440512342400
7154123040321022
oct21606730634240
94280750302810
101220699961504
114307723395a1
121786b5b44a00
138b15acba33a
1443121778012
1521b4711c739
hex11c376338a0

1220699961504 has 144 divisors (see below), whose sum is σ = 3531569932800. Its totient is φ = 399848414208.

The previous prime is 1220699961491. The next prime is 1220699961541. The reversal of 1220699961504 is 4051699960221.

1220699961504 is a `hidden beast` number, since 12 + 2 + 0 + 6 + 9 + 9 + 9 + 615 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48907492 + ... + 48932444.

It is an arithmetic number, because the mean of its divisors is an integer number (24524791200).

Almost surely, 21220699961504 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 1220699961504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765784966400).

1220699961504 is an abundant number, since it is smaller than the sum of its proper divisors (2310869971296).

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

1220699961504 is a wasteful number, since it uses less digits than its factorization.

1220699961504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27907 (or 27896 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 1220699961504 in words is "one trillion, two hundred twenty billion, six hundred ninety-nine million, nine hundred sixty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 72 96 118 144 177 236 288 354 472 531 708 944 1062 1416 1888 2124 2832 2879 4248 5664 5758 8496 8637 11516 16992 17274 23032 24953 25911 34548 46064 49906 51822 69096 74859 92128 99812 103644 138192 149718 169861 199624 207288 224577 276384 299436 339722 399248 414576 449154 509583 598872 679444 798496 829152 898308 1019166 1197744 1358888 1472227 1528749 1796616 2038332 2395488 2717776 2944454 3057498 3593232 4076664 4416681 5435552 5888908 6114996 7186464 8153328 8833362 11777816 12229992 13250043 16306656 17666724 23555632 24459984 26500086 35333448 47111264 48919968 53000172 70666896 71839687 106000344 141333792 143679374 212000688 215519061 287358748 424001376 431038122 574717496 646557183 862076244 1149434992 1293114366 1724152488 2298869984 2586228732 3448304976 4238541533 5172457464 6896609952 8477083066 10344914928 12715624599 16954166132 20689829856 25431249198 33908332264 38146873797 50862498396 67816664528 76293747594 101724996792 135633329056 152587495188 203449993584 305174990376 406899987168 610349980752 1220699961504