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406005334066680 = 23357734376944093
BaseRepresentation
bin101110001010000100111101…
…1101101101100010111111000
31222020112201201210210022221020
41130110021323231230113320
5411203442411010113210
63555300135305342440
7151342626444154365
oct13424117355542770
91866481653708836
10406005334066680
111084029935a8317
1239652678a97a20
13145711a5a0420a
147238a97a1946c
1531e11e550a770
hex171427bb6c5f8

406005334066680 has 64 divisors (see below), whose sum is σ = 1219591702352160. Its totient is φ = 108128026848768.

The previous prime is 406005334066643. The next prime is 406005334066681. The reversal of 406005334066680 is 86660433500604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406005334066681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2188379287 + ... + 2188564806.

Almost surely, 2406005334066680 is an apocalyptic number.

406005334066680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406005334066680 is an abundant number, since it is smaller than the sum of its proper divisors (813586368285480).

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

406005334066680 is a wasteful number, since it uses less digits than its factorization.

406005334066680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4376944880 (or 4376944876 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 51.

The spelling of 406005334066680 in words is "four hundred six trillion, five billion, three hundred thirty-four million, sixty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 773 1546 2319 3092 3865 4638 6184 7730 9276 11595 15460 18552 23190 30920 46380 92760 4376944093 8753888186 13130832279 17507776372 21884720465 26261664558 35015552744 43769440930 52523329116 65654161395 87538881860 105046658232 131308322790 175077763720 262616645580 525233291160 3383377783889 6766755567778 10150133351667 13533511135556 16916888919445 20300266703334 27067022271112 33833777838890 40600533406668 50750666758335 67667555677780 81201066813336 101501333516670 135335111355560 203002667033340 406005334066680