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2154122544 = 243731732833
BaseRepresentation
bin1000000001100101…
…0100110100110000
312120010100202121110
42000121110310300
513402423410134
6553430153320
7104244511440
oct20031246460
95503322543
102154122544
11a05a45172
125014b2840
1328438a832
14166138120
15c91a87e9
hex80654d30

2154122544 has 160 divisors (see below), whose sum is σ = 6657224704. Its totient is φ = 587243520.

The previous prime is 2154122543. The next prime is 2154122557. The reversal of 2154122544 is 4452214512.

It is not an unprimeable number, because it can be changed into a prime (2154122543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 758952 + ... + 761784.

Almost surely, 22154122544 is an apocalyptic number.

2154122544 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 2154122544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3328612352).

2154122544 is an abundant number, since it is smaller than the sum of its proper divisors (4503102160).

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

2154122544 is a wasteful number, since it uses less digits than its factorization.

2154122544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2955 (or 2949 counting only the distinct ones).

The product of its digits is 12800, while the sum is 30.

The square root of 2154122544 is about 46412.5257231278. The cubic root of 2154122544 is about 1291.4872864589.

It can be divided in two parts, 2154 and 122544, that multiplied together give a triangular number (263959776 = T22976).

The spelling of 2154122544 in words is "two billion, one hundred fifty-four million, one hundred twenty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 73 84 93 112 124 146 168 186 217 219 248 292 336 372 434 438 496 511 584 651 744 868 876 1022 1168 1302 1488 1533 1736 1752 2044 2263 2604 2833 3066 3472 3504 4088 4526 5208 5666 6132 6789 8176 8499 9052 10416 11332 12264 13578 15841 16998 18104 19831 22664 24528 27156 31682 33996 36208 39662 45328 47523 54312 59493 63364 67992 79324 87823 95046 108624 118986 126728 135984 158648 175646 190092 206809 237972 253456 263469 317296 351292 380184 413618 475944 526938 614761 620427 702584 760368 827236 951888 1053876 1229522 1240854 1405168 1447663 1654472 1844283 2107752 2459044 2481708 2895326 3308944 3688566 4215504 4342989 4918088 4963416 5790652 6411079 7377132 8685978 9836176 9926832 11581304 12822158 14754264 17371956 19233237 23162608 25644316 29508528 34743912 38466474 44877553 51288632 69487824 76932948 89755106 102577264 134632659 153865896 179510212 269265318 307731792 359020424 538530636 718040848 1077061272 2154122544