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6122693472 = 253722356591
BaseRepresentation
bin1011011001111000…
…01110001101100000
3120210200221001110220
411230330032031200
5100014402142342
62451314323040
7304504015200
oct55474161540
916720831426
106122693472
112662112255
12122a589480
1376762695c
1442122a400
1525c7c15ec
hex16cf0e360

6122693472 has 144 divisors (see below), whose sum is σ = 19509299712. Its totient is φ = 1673253120.

The previous prime is 6122693461. The next prime is 6122693491. The reversal of 6122693472 is 2743962216.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79897 + ... + 136487.

It is an arithmetic number, because the mean of its divisors is an integer number (135481248).

Almost surely, 26122693472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6122693472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9754649856).

6122693472 is an abundant number, since it is smaller than the sum of its proper divisors (13386606240).

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

6122693472 is a wasteful number, since it uses less digits than its factorization.

6122693472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56641 (or 56626 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 6122693472 is about 78247.6419580808. The cubic root of 6122693472 is about 1829.4231583918.

The spelling of 6122693472 in words is "six billion, one hundred twenty-two million, six hundred ninety-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 49 56 69 84 92 96 98 112 138 147 161 168 184 196 224 276 294 322 336 368 392 483 552 588 644 672 736 784 966 1104 1127 1176 1288 1568 1932 2208 2254 2352 2576 3381 3864 4508 4704 5152 6762 7728 9016 13524 15456 18032 27048 36064 54096 56591 108192 113182 169773 226364 339546 396137 452728 679092 792274 905456 1188411 1301593 1358184 1584548 1810912 2376822 2603186 2716368 2772959 3169096 3904779 4753644 5206372 5432736 5545918 6338192 7809558 8318877 9111151 9507288 10412744 11091836 12676384 15619116 16637754 18222302 19014576 20825488 22183672 27333453 31238232 33275508 36444604 38029152 41650976 44367344 54666906 62476464 63778057 66551016 72889208 88734688 109333812 124952928 127556114 133102032 145778416 191334171 218667624 255112228 266204064 291556832 382668342 437335248 510224456 765336684 874670496 1020448912 1530673368 2040897824 3061346736 6122693472