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10495030680 = 2334513272441
BaseRepresentation
bin10011100011000110…
…10111010110011000
31000002102020210120000
421301203113112120
5132443211440210
64453224533000
7521035201041
oct116143272630
930072223500
1010495030680
1144a6197982
12204a921160
13cb3422734
14717bc38c8
15416593ac0
hex2718d7598

10495030680 has 160 divisors (see below), whose sum is σ = 35316008640. Its totient is φ = 2795420160.

The previous prime is 10495030673. The next prime is 10495030717. The reversal of 10495030680 is 8603059401.

10495030680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×104950306802 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4298260 + ... + 4300700.

It is an arithmetic number, because the mean of its divisors is an integer number (220725054).

Almost surely, 210495030680 is an apocalyptic number.

10495030680 is a gapful number since it is divisible by the number (10) 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 10495030680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17658004320).

10495030680 is an abundant number, since it is smaller than the sum of its proper divisors (24820977960).

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

10495030680 is a wasteful number, since it uses less digits than its factorization.

10495030680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3791 (or 3778 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 10495030680 in words is "ten billion, four hundred ninety-five million, thirty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1327 1620 2441 2654 3240 3981 4882 5308 6635 7323 7962 9764 10616 11943 12205 13270 14646 15924 19528 19905 21969 23886 24410 26540 29292 31848 35829 36615 39810 43938 47772 48820 53080 58584 59715 65907 71658 73230 79620 87876 95544 97640 107487 109845 119430 131814 143316 146460 159240 175752 179145 197721 214974 219690 238860 263628 286632 292920 329535 358290 395442 429948 439380 477720 527256 537435 659070 716580 790884 859896 878760 988605 1074870 1318140 1433160 1581768 1977210 2149740 2636280 3239207 3954420 4299480 6478414 7908840 9717621 12956828 16196035 19435242 25913656 29152863 32392070 38870484 48588105 58305726 64784140 77740968 87458589 97176210 116611452 129568280 145764315 174917178 194352420 233222904 262375767 291528630 349834356 388704840 437292945 524751534 583057260 699668712 874585890 1049503068 1166114520 1311878835 1749171780 2099006136 2623757670 3498343560 5247515340 10495030680