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2468207300424 = 2332346717235557
BaseRepresentation
bin100011111010101100100…
…111101000111101001000
322201221212121111002022220
4203322230213220331020
5310414342032103144
65125513452214040
7343215322615245
oct43725447507510
98657777432286
102468207300424
11871840747558
1233a43176a320
1314b99bab4b78
14876675325cc
154430c921919
hex23eac9e8f48

2468207300424 has 128 divisors (see below), whose sum is σ = 6457496048640. Its totient is φ = 784682502912.

The previous prime is 2468207300423. The next prime is 2468207300437. The reversal of 2468207300424 is 4240037028642.

It is not an unprimeable number, because it can be changed into a prime (2468207300423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 444159054 + ... + 444164610.

It is an arithmetic number, because the mean of its divisors is an integer number (50449187880).

Almost surely, 22468207300424 is an apocalyptic number.

2468207300424 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 2468207300424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3228748024320).

2468207300424 is an abundant number, since it is smaller than the sum of its proper divisors (3989288748216).

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

2468207300424 is a wasteful number, since it uses less digits than its factorization.

2468207300424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7779 (or 7775 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 42.

The spelling of 2468207300424 in words is "two trillion, four hundred sixty-eight billion, two hundred seven million, three hundred thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 467 552 934 1401 1723 1868 2802 3446 3736 5169 5557 5604 6892 10338 10741 11114 11208 13784 16671 20676 21482 22228 32223 33342 39629 41352 42964 44456 64446 66684 79258 85928 118887 127811 128892 133368 158516 237774 255622 257784 317032 383433 475548 511244 766866 804641 951096 1022488 1533732 1609282 2413923 2595119 3067464 3218564 4827846 5190238 6437128 7785357 9574711 9655692 10380476 15570714 18506743 19149422 19311384 20760952 28724133 31141428 37013486 38298844 55520229 57448266 59687737 62282856 74026972 76597688 111040458 114896532 119375474 148053944 179063211 220218353 222080916 229793064 238750948 358126422 440436706 444161832 477501896 660655059 716252844 880873412 1321310118 1432505688 1761746824 2642620236 4471390037 5285240472 8942780074 13414170111 17885560148 26828340222 35771120296 53656680444 102841970851 107313360888 205683941702 308525912553 411367883404 617051825106 822735766808 1234103650212 2468207300424