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8132211945 = 33511131922171
BaseRepresentation
bin1111001001011011…
…11011010011101001
3202222202012011121000
413210231323103221
5113123321240240
63422541305213
7405344442504
oct74455732351
922882164530
108132211945
1134a3470220
1216ab565209
139c7a54640
1457208213b
15328e14430
hex1e4b7b4e9

8132211945 has 128 divisors (see below), whose sum is σ = 17879500800. Its totient is φ = 3447878400.

The previous prime is 8132211943. The next prime is 8132211947. The reversal of 8132211945 is 5491122318.

It is an interprime number because it is at equal distance from previous prime (8132211943) and next prime (8132211947).

It is not a de Polignac number, because 8132211945 - 21 = 8132211943 is a prime.

It is a super-2 number, since 2×81322119452 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8132211943) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 355710 + ... + 377880.

It is an arithmetic number, because the mean of its divisors is an integer number (139683600).

Almost surely, 28132211945 is an apocalyptic number.

It is an amenable number.

8132211945 is an abundant number, since it is smaller than the sum of its proper divisors (9747288855).

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

8132211945 is a wasteful number, since it uses less digits than its factorization.

8132211945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22228 (or 22222 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 8132211945 is about 90178.7776863271. Note that the first 3 decimals coincide. The cubic root of 8132211945 is about 2010.9575188372.

The spelling of 8132211945 in words is "eight billion, one hundred thirty-two million, two hundred eleven thousand, nine hundred forty-five".

Divisors: 1 3 5 9 11 13 15 19 27 33 39 45 55 57 65 95 99 117 135 143 165 171 195 209 247 285 297 351 429 495 513 585 627 715 741 855 1045 1235 1287 1485 1755 1881 2145 2223 2565 2717 3135 3705 3861 5643 6435 6669 8151 9405 11115 13585 19305 22171 24453 28215 33345 40755 66513 73359 110855 122265 199539 243881 288223 332565 366795 421249 598617 731643 864669 997695 1219405 1263747 1441115 2106245 2194929 2594007 2993085 3170453 3658215 3791241 4323345 4633739 5476237 6318735 6584787 7782021 9511359 10974645 11373723 12970035 13901217 15852265 16428711 18956205 23168695 27381185 28534077 32923935 38910105 41703651 47556795 49286133 56868615 60238607 69506085 82143555 85602231 125110953 142670385 147858399 180715821 208518255 246430665 301193035 428011155 542147463 625554765 739291995 903579105 1626442389 2710737315 8132211945