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12919948700 = 22521923417211
BaseRepresentation
bin11000000100001011…
…01100010110011100
31020100102011101201112
430002011230112130
5202430001324300
65534011201152
7635111515631
oct140205542634
936312141645
1012919948700
11552aa7975a
122606a461b8
1312ab924179
148a7c8c188
155093dce35
hex30216c59c

12919948700 has 144 divisors (see below), whose sum is σ = 31550480640. Its totient is φ = 4568256000.

The previous prime is 12919948607. The next prime is 12919948703. The reversal of 12919948700 is 784991921.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12919948703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1788095 + ... + 1795305.

It is an arithmetic number, because the mean of its divisors is an integer number (219100560).

Almost surely, 212919948700 is an apocalyptic number.

12919948700 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 12919948700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15775240320).

12919948700 is an abundant number, since it is smaller than the sum of its proper divisors (18630531940).

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

12919948700 is a wasteful number, since it uses less digits than its factorization.

12919948700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7308 (or 7301 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 50.

The spelling of 12919948700 in words is "twelve billion, nine hundred nineteen million, nine hundred forty-eight thousand, seven hundred".

Divisors: 1 2 4 5 10 19 20 23 25 38 41 46 50 76 82 92 95 100 115 164 190 205 230 380 410 437 460 475 575 779 820 874 943 950 1025 1150 1558 1748 1886 1900 2050 2185 2300 3116 3772 3895 4100 4370 4715 7211 7790 8740 9430 10925 14422 15580 17917 18860 19475 21850 23575 28844 35834 36055 38950 43700 47150 71668 72110 77900 89585 94300 137009 144220 165853 179170 180275 274018 295651 331706 358340 360550 447925 548036 591302 663412 685045 721100 829265 895850 1182604 1370090 1478255 1658530 1791700 2740180 2956510 3151207 3317060 3425225 4146325 5617369 5913020 6302414 6799973 6850450 7391275 8292650 11234738 12604828 13599946 13700900 14782550 15756035 16585300 22469476 27199892 28086845 29565100 31512070 33999865 56173690 63024140 67999730 78780175 112347380 129199487 135999460 140434225 157560350 169999325 258398974 280868450 315120700 339998650 516797948 561736900 645997435 679997300 1291994870 2583989740 3229987175 6459974350 12919948700