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2554416430 = 2517193197263
BaseRepresentation
bin1001100001000001…
…0100110100101110
320121000120210120221
42120100110310232
520212412311210
61101250001554
7120205116136
oct23020246456
96530523527
102554416430
1110a09a0965
125b35762ba
133192a2b17
141a3377ac6
15ee3c91da
hex98414d2e

2554416430 has 128 divisors (see below), whose sum is σ = 5364817920. Its totient is φ = 869253120.

The previous prime is 2554416421. The next prime is 2554416433. The reversal of 2554416430 is 346144552.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2554416433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9712479 + ... + 9712741.

It is an arithmetic number, because the mean of its divisors is an integer number (41912640).

Almost surely, 22554416430 is an apocalyptic number.

2554416430 is an abundant number, since it is smaller than the sum of its proper divisors (2810401490).

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

2554416430 is a wasteful number, since it uses less digits than its factorization.

2554416430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434.

The product of its (nonzero) digits is 57600, while the sum is 34.

The square root of 2554416430 is about 50541.2349473180. The cubic root of 2554416430 is about 1366.9854739757.

The spelling of 2554416430 in words is "two billion, five hundred fifty-four million, four hundred sixteen thousand, four hundred thirty".

Divisors: 1 2 5 10 17 19 31 34 38 62 85 95 97 155 170 190 194 263 310 323 485 526 527 589 646 970 1054 1178 1315 1615 1649 1843 2630 2635 2945 3007 3230 3298 3686 4471 4997 5270 5890 6014 8153 8245 8942 9215 9994 10013 15035 16306 16490 18430 20026 22355 24985 25511 30070 31331 40765 44710 49970 50065 51022 51119 57133 62662 81530 84949 100130 102238 114266 127555 138601 154907 156655 169898 255110 255595 277202 285665 309814 313310 424745 433687 484709 511190 571330 693005 774535 790841 849490 867374 969418 971261 1386010 1549070 1581682 1942522 2168435 2423545 2633419 3954205 4336870 4847090 4856305 5266838 7908410 8240053 9712610 13167095 13444297 15025979 16480106 26334190 26888594 30051958 41200265 67221485 75129895 82400530 134442970 150259790 255441643 510883286 1277208215 2554416430