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12350717440 = 29519318191
BaseRepresentation
bin10111000000010100…
…01111111000000000
31011212202001110020021
423200022033320000
5200243240424230
65401314423224
7615030236365
oct134012177000
934782043207
1012350717440
1152687268a6
122488291b14
13121aa0c439
1485243446c
154c444bc7a
hex2e028fe00

12350717440 has 160 divisors (see below), whose sum is σ = 32180797440. Its totient is φ = 4528742400.

The previous prime is 12350717417. The next prime is 12350717479. The reversal of 12350717440 is 4471705321.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 12350717396 and 12350717405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1503745 + ... + 1511935.

It is an arithmetic number, because the mean of its divisors is an integer number (201129984).

Almost surely, 212350717440 is an apocalyptic number.

12350717440 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 12350717440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16090398720).

12350717440 is an abundant number, since it is smaller than the sum of its proper divisors (19830080000).

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

12350717440 is an equidigital number, since it uses as much as digits as its factorization.

12350717440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8264 (or 8248 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The spelling of 12350717440 in words is "twelve billion, three hundred fifty million, seven hundred seventeen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 31 32 38 40 62 64 76 80 95 124 128 152 155 160 190 248 256 304 310 320 380 496 512 589 608 620 640 760 992 1178 1216 1240 1280 1520 1984 2356 2432 2480 2560 2945 3040 3968 4712 4864 4960 5890 6080 7936 8191 9424 9728 9920 11780 12160 15872 16382 18848 19840 23560 24320 32764 37696 39680 40955 47120 48640 65528 75392 79360 81910 94240 131056 150784 155629 163820 188480 253921 262112 301568 311258 327640 376960 507842 524224 622516 655280 753920 778145 1015684 1048448 1245032 1269605 1310560 1507840 1556290 2031368 2096896 2490064 2539210 2621120 3112580 4062736 4193792 4824499 4980128 5078420 5242240 6225160 8125472 9648998 9960256 10156840 10484480 12450320 16250944 19297996 19920512 20313680 20968960 24122495 24900640 32501888 38595992 39841024 40627360 48244990 49801280 65003776 77191984 79682048 81254720 96489980 99602560 130007552 154383968 162509440 192979960 199205120 308767936 325018880 385959920 398410240 617535872 650037760 771919840 1235071744 1543839680 2470143488 3087679360 6175358720 12350717440