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2106718632 = 23351957037
BaseRepresentation
bin111110110010001…
…1111100110101000
312102211011101200000
41331210133212220
513303304444012
6545014143000
7103130545554
oct17544374650
95384141600
102106718632
11991207987
124a9651a60
13277600c95
1415db18864
15c4e42ddc
hex7d91f9a8

2106718632 has 96 divisors (see below), whose sum is σ = 6228549600. Its totient is φ = 665267904.

The previous prime is 2106718597. The next prime is 2106718643. The reversal of 2106718632 is 2368176012.

2106718632 is a `hidden beast` number, since 2 + 1 + 0 + 6 + 7 + 18 + 632 = 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, 8418 + ... + 65454.

It is an arithmetic number, because the mean of its divisors is an integer number (64880725).

Almost surely, 22106718632 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 2106718632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3114274800).

2106718632 is an abundant number, since it is smaller than the sum of its proper divisors (4121830968).

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

2106718632 is a wasteful number, since it uses less digits than its factorization.

2106718632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57077 (or 57061 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2106718632 is about 45899.0046950912. The cubic root of 2106718632 is about 1281.9433841900.

The spelling of 2106718632 in words is "two billion, one hundred six million, seven hundred eighteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 243 324 342 456 486 513 648 684 972 1026 1368 1539 1944 2052 3078 4104 4617 6156 9234 12312 18468 36936 57037 114074 171111 228148 342222 456296 513333 684444 1026666 1083703 1368888 1539999 2053332 2167406 3079998 3251109 4106664 4334812 4619997 6159996 6502218 8669624 9239994 9753327 12319992 13004436 13859991 18479988 19506654 26008872 27719982 29259981 36959976 39013308 55439964 58519962 78026616 87779943 110879928 117039924 175559886 234079848 263339829 351119772 526679658 702239544 1053359316 2106718632