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212316475440 = 243537131918127
BaseRepresentation
bin1100010110111100001…
…1000101000000110000
3202022000200220110112110
43011233003011000300
511434311004203230
6241311542525320
721224254156446
oct3055703050060
9668020813473
10212316475440
118205212a523
1235194436840
1317037bcc874
14a3c1b60b96
1557c98aa4b0
hex316f0c5030

212316475440 has 160 divisors (see below), whose sum is σ = 676519557120. Its totient is φ = 55042716672.

The previous prime is 212316475433. The next prime is 212316475451. The reversal of 212316475440 is 44574613212.

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, 11703657 + ... + 11721783.

It is an arithmetic number, because the mean of its divisors is an integer number (4228247232).

Almost surely, 2212316475440 is an apocalyptic number.

212316475440 is a gapful number since it is divisible by the number (20) 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 212316475440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338259778560).

212316475440 is an abundant number, since it is smaller than the sum of its proper divisors (464203081680).

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

212316475440 is a wasteful number, since it uses less digits than its factorization.

212316475440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19499 (or 19493 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 212316475440 in words is "two hundred twelve billion, three hundred sixteen million, four hundred seventy-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1319 1480 1776 2220 2638 2960 3957 4440 5276 6595 7914 8880 10552 13190 15828 18127 19785 21104 26380 31656 36254 39570 48803 52760 54381 63312 72508 79140 90635 97606 105520 108762 145016 146409 158280 181270 195212 217524 244015 271905 290032 292818 316560 362540 390424 435048 488030 543810 585636 670699 725080 732045 780848 870096 976060 1087620 1171272 1341398 1450160 1464090 1952120 2012097 2175240 2342544 2682796 2928180 3353495 3904240 4024194 4350480 5365592 5856360 6706990 8048388 10060485 10731184 11712720 13413980 16096776 20120970 23909513 26827960 32193552 40241940 47819026 53655920 71728539 80483880 95638052 119547565 143457078 160967760 191276104 239095130 286914156 358642695 382552208 478190260 573828312 717285390 884651981 956380520 1147656624 1434570780 1769303962 1912761040 2653955943 2869141560 3538607924 4423259905 5307911886 5738283120 7077215848 8846519810 10615823772 13269779715 14154431696 17693039620 21231647544 26539559430 35386079240 42463295088 53079118860 70772158480 106158237720 212316475440