Search a number
-
+
106054033452 = 223171933377993
BaseRepresentation
bin110001011000101010…
…0000010000000101100
3101010202002101002212220
41202301110002000230
53214144313032302
6120415345555340
710443055260543
oct1426124020054
9333662332786
10106054033452
1140a82812034
1218679345b50
13a001b46763
1451c10d715a
152b5a9974bc
hex18b150202c

106054033452 has 96 divisors (see below), whose sum is σ = 264188014272. Its totient is φ = 32997113856.

The previous prime is 106054033441. The next prime is 106054033471. The reversal of 106054033452 is 254330450601.

It is a super-2 number, since 2×1060540334522 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13264368 + ... + 13272360.

It is an arithmetic number, because the mean of its divisors is an integer number (2751958482).

Almost surely, 2106054033452 is an apocalyptic number.

106054033452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106054033452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132094007136).

106054033452 is an abundant number, since it is smaller than the sum of its proper divisors (158133980820).

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

106054033452 is a wasteful number, since it uses less digits than its factorization.

106054033452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8547 (or 8545 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The spelling of 106054033452 in words is "one hundred six billion, fifty-four million, thirty-three thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 193 204 337 386 579 674 772 1011 1158 1348 2022 2316 3281 4044 5729 6562 7993 9843 11458 13124 15986 17187 19686 22916 23979 31972 34374 39372 47958 65041 68748 95916 130082 135881 195123 260164 271762 390246 407643 543524 780492 815286 1105697 1542649 1630572 2211394 2693641 3085298 3317091 4422788 4627947 5387282 6170596 6634182 8080923 9255894 10774564 13268364 16161846 18511788 26225033 32323692 45791897 52450066 78675099 91583794 104900132 137375691 157350198 183167588 274751382 314700396 519872713 549502764 1039745426 1559618139 2079490852 3119236278 6238472556 8837836121 17675672242 26513508363 35351344484 53027016726 106054033452