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2155666512 = 2432941107353
BaseRepresentation
bin1000000001111100…
…1101110001010000
312120020021012112110
42000133031301100
513403322312022
6553523225320
7104263602006
oct20037156120
95506235473
102155666512
11a068aa17a
12501b18240
132847ab51c
1416641aa76
15c93b100c
hex807cdc50

2155666512 has 160 divisors (see below), whose sum is σ = 5973367680. Its totient is φ = 668631040.

The previous prime is 2155666501. The next prime is 2155666523. The reversal of 2155666512 is 2156665512.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2155666501) and next prime (2155666523).

It is a super-2 number, since 2×21556665122 = 9293796221916492288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6106528 + ... + 6106880.

It is an arithmetic number, because the mean of its divisors is an integer number (37333548).

Almost surely, 22155666512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2155666512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2986683840).

2155666512 is an abundant number, since it is smaller than the sum of its proper divisors (3817701168).

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

2155666512 is a wasteful number, since it uses less digits than its factorization.

2155666512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 535 counting only the distinct ones).

The product of its digits is 108000, while the sum is 39.

The square root of 2155666512 is about 46429.1558398384. The cubic root of 2155666512 is about 1291.7957707393.

The spelling of 2155666512 in words is "two billion, one hundred fifty-five million, six hundred sixty-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 41 48 58 82 87 107 116 123 164 174 214 232 246 321 328 348 353 428 464 492 642 656 696 706 856 984 1059 1189 1284 1392 1412 1712 1968 2118 2378 2568 2824 3103 3567 4236 4387 4756 5136 5648 6206 7134 8472 8774 9309 9512 10237 12412 13161 14268 14473 16944 17548 18618 19024 20474 24824 26322 28536 28946 30711 35096 37236 37771 40948 43419 49648 52644 57072 57892 61422 70192 74472 75542 81896 86838 105288 113313 115784 122844 127223 148944 151084 163792 173676 210576 226626 231568 245688 254446 302168 347352 381669 419717 453252 491376 508892 604336 694704 763338 839434 906504 1017784 1095359 1259151 1526676 1548611 1678868 1813008 2035568 2190718 2518302 3053352 3097222 3286077 3357736 4381436 4645833 5036604 6106704 6194444 6572154 6715472 8762872 9291666 10073208 12388888 13144308 17525744 18583332 20146416 24777776 26288616 37166664 44909719 52577232 74333328 89819438 134729157 179638876 269458314 359277752 538916628 718555504 1077833256 2155666512