Search a number
-
+
2383970822992 = 2411291974675077
BaseRepresentation
bin100010101100001111101…
…110111110101101010000
322102220110000200122211101
4202230033232332231100
5303024333012313432
65023103040154144
7334144006435423
oct42541756765520
98386400618741
102383970822992
1183a04441a260
12326043008954
13143a66071c95
1483555c879ba
154202c56a4e7
hex22b0fbbeb50

2383970822992 has 160 divisors (see below), whose sum is σ = 5251313358720. Its totient is φ = 1038512240640.

The previous prime is 2383970822917. The next prime is 2383970823029. The reversal of 2383970822992 is 2992280793832.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 469560358 + ... + 469565434.

It is an arithmetic number, because the mean of its divisors is an integer number (32820708492).

Almost surely, 22383970822992 is an apocalyptic number.

2383970822992 is a gapful number since it is divisible by the number (22) 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 2383970822992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2625656679360).

2383970822992 is an abundant number, since it is smaller than the sum of its proper divisors (2867342535728).

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

2383970822992 is a wasteful number, since it uses less digits than its factorization.

2383970822992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5789 (or 5783 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 64.

The spelling of 2383970822992 in words is "two trillion, three hundred eighty-three billion, nine hundred seventy million, eight hundred twenty-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 176 197 232 319 394 464 467 638 788 934 1276 1576 1868 2167 2552 3152 3736 4334 5077 5104 5137 5713 7472 8668 10154 10274 11426 13543 17336 20308 20548 22852 27086 34672 40616 41096 45704 54172 55847 62843 81232 82192 91408 91999 108344 111694 125686 147233 148973 183998 216688 223388 251372 294466 297946 367996 446776 502744 588932 595892 735992 893552 1000169 1005488 1011989 1177864 1191784 1471984 1619563 2000338 2023978 2355728 2370959 2383568 2667971 3239126 4000676 4047956 4741918 5335942 6478252 8001352 8095912 9483836 10671884 11001859 12956504 16002704 16191824 18967672 21343768 22003718 25913008 26080549 29004901 29347681 37935344 42687536 44007436 52161098 58009802 58695362 68757811 88014872 104322196 116019604 117390724 137515622 176029744 208644392 232039208 234781448 275031244 319053911 417288784 464078416 467078923 469562896 550062488 638107822 756335921 934157846 1100124976 1276215644 1512671842 1868315692 2552431288 3025343684 3736631384 5104862576 5137868153 6050687368 7473262768 10275736306 12101374736 13545288767 20551472612 27090577534 41102945224 54181155068 82205890448 108362310136 148998176437 216724620272 297996352874 595992705748 1191985411496 2383970822992