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6270742368 = 25321119104179
BaseRepresentation
bin1011101011100001…
…11110111101100000
3121012000111201101100
411311300332331200
5100320302223433
62514123434400
7311252300502
oct56560767540
917160451340
106270742368
112728741610
121270085a00
1378c1c1757
14436b67d72
1526a7b7b13
hex175c3ef60

6270742368 has 144 divisors (see below), whose sum is σ = 20477620800. Its totient is φ = 1800195840.

The previous prime is 6270742363. The next prime is 6270742381. The reversal of 6270742368 is 8632470726.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6270742363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8103 + ... + 112281.

It is an arithmetic number, because the mean of its divisors is an integer number (142205700).

Almost surely, 26270742368 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 6270742368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10238810400).

6270742368 is an abundant number, since it is smaller than the sum of its proper divisors (14206878432).

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

6270742368 is a wasteful number, since it uses less digits than its factorization.

6270742368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104225 (or 104214 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 6270742368 is about 79188.0190937998. The cubic root of 6270742368 is about 1844.0512468446.

The spelling of 6270742368 in words is "six billion, two hundred seventy million, seven hundred forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 32 33 36 38 44 48 57 66 72 76 88 96 99 114 132 144 152 171 176 198 209 228 264 288 304 342 352 396 418 456 528 608 627 684 792 836 912 1056 1254 1368 1584 1672 1824 1881 2508 2736 3168 3344 3762 5016 5472 6688 7524 10032 15048 20064 30096 60192 104179 208358 312537 416716 625074 833432 937611 1145969 1250148 1666864 1875222 1979401 2291938 2500296 3333728 3437907 3750444 3958802 4583876 5000592 5938203 6875814 7500888 7917604 9167752 10001184 10313721 11876406 13751628 15001776 15835208 17814609 18335504 20627442 21773411 23752812 27503256 30003552 31670416 35629218 36671008 41254884 43546822 47505624 55006512 63340832 65320233 71258436 82509768 87093644 95011248 110013024 130640466 142516872 165019536 174187288 190022496 195960699 261280932 285033744 330039072 348374576 391921398 522561864 570067488 696749152 783842796 1045123728 1567685592 2090247456 3135371184 6270742368