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2124238974 = 23112131731301
BaseRepresentation
bin111111010011101…
…0101000001111110
312111001010112001120
41332213111001332
513322301121344
6550441451410
7103432506354
oct17647250176
95431115046
102124238974
119a0094200
124b34a0b66
1327b126850
141621997d4
15c6754219
hex7e9d507e

2124238974 has 96 divisors (see below), whose sum is σ = 5061988512. Its totient is φ = 590304000.

The previous prime is 2124238967. The next prime is 2124238999. The reversal of 2124238974 is 4798324212.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1632124 + ... + 1633424.

It is an arithmetic number, because the mean of its divisors is an integer number (52729047).

Almost surely, 22124238974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2124238974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2530994256).

2124238974 is an abundant number, since it is smaller than the sum of its proper divisors (2937749538).

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

2124238974 is a wasteful number, since it uses less digits than its factorization.

2124238974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514 (or 1503 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 2124238974 is about 46089.4670613580. The cubic root of 2124238974 is about 1285.4873015418.

It can be divided in two parts, 2124238 and 974, that added together give a palindrome (2125212).

The spelling of 2124238974 in words is "two billion, one hundred twenty-four million, two hundred thirty-eight thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 121 143 173 242 286 346 363 429 519 726 858 1038 1301 1573 1903 2249 2602 3146 3806 3903 4498 4719 5709 6747 7806 9438 11418 13494 14311 16913 20933 24739 28622 33826 41866 42933 49478 50739 62799 74217 85866 101478 125598 148434 157421 186043 225073 272129 314842 372086 450146 472263 544258 558129 675219 816387 944526 1116258 1350438 1632774 2046473 2475803 2925949 4092946 4951606 5851898 6139419 7427409 8777847 12278838 14854818 17555694 27233833 32185439 54467666 64370878 81701499 96556317 163402998 193112634 354039829 708079658 1062119487 2124238974