Search a number
-
+
212507160040332 = 2232231072398608967
BaseRepresentation
bin110000010100011000101101…
…110010010101001110001100
31000212102111010100210121110100
4300110120231302111032030
5210323204130432242312
62031544235215211100
762522064346463643
oct6024305562251614
91025374110717410
10212507160040332
1161790864879953
121ba01389b16a90
139176454308391
143a6958972235a
151987beb4c15dc
hexc1462dc9538c

212507160040332 has 72 divisors (see below), whose sum is σ = 565764694500096. Its totient is φ = 67122673304544.

The previous prime is 212507160040321. The next prime is 212507160040379. The reversal of 212507160040332 is 233040061705212.

212507160040332 is a `hidden beast` number, since 2 + 1 + 2 + 5 + 0 + 7 + 1 + 600 + 40 + 3 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1199215888 + ... + 1199393079.

It is an arithmetic number, because the mean of its divisors is an integer number (7857842979168).

Almost surely, 2212507160040332 is an apocalyptic number.

It is an amenable number.

212507160040332 is an abundant number, since it is smaller than the sum of its proper divisors (353257534459764).

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

212507160040332 is a wasteful number, since it uses less digits than its factorization.

212507160040332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398609107 (or 2398609102 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 212507160040332 in words is "two hundred twelve trillion, five hundred seven billion, one hundred sixty million, forty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 107 138 207 214 276 321 414 428 642 828 963 1284 1926 2461 3852 4922 7383 9844 14766 22149 29532 44298 88596 2398608967 4797217934 7195826901 9594435868 14391653802 21587480703 28783307604 43174961406 55168006241 86349922812 110336012482 165504018723 220672024964 256651159469 331008037446 496512056169 513302318938 662016074892 769953478407 993024112338 1026604637876 1539906956814 1986048224676 2309860435221 3079813913628 4619720870442 5902976667787 9239441740884 11805953335574 17708930003361 23611906671148 35417860006722 53126790010083 70835720013444 106253580020166 212507160040332