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7146742512 = 243731333391
BaseRepresentation
bin1101010011111101…
…01010001011110000
3200110001212010200010
412221332222023300
5104114031230022
63141055254520
7342050211000
oct65176521360
920401763603
107146742512
113038171478
12147551a440
1389b834230
144bb238000
152bc65350c
hex1a9faa2f0

7146742512 has 160 divisors (see below), whose sum is σ = 23187404800. Its totient is φ = 1884798720.

The previous prime is 7146742451. The next prime is 7146742531. The reversal of 7146742512 is 2152476417.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 197337 + ... + 230727.

It is an arithmetic number, because the mean of its divisors is an integer number (144921280).

Almost surely, 27146742512 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 7146742512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11593702400).

7146742512 is an abundant number, since it is smaller than the sum of its proper divisors (16040662288).

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

7146742512 is a wasteful number, since it uses less digits than its factorization.

7146742512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33436 (or 33416 counting only the distinct ones).

The product of its digits is 94080, while the sum is 39.

The square root of 7146742512 is about 84538.4085016982. The cubic root of 7146742512 is about 1926.2059132703.

The spelling of 7146742512 in words is "seven billion, one hundred forty-six million, seven hundred forty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 49 52 56 78 84 91 98 104 112 147 156 168 182 196 208 273 294 312 336 343 364 392 546 588 624 637 686 728 784 1029 1092 1176 1274 1372 1456 1911 2058 2184 2352 2548 2744 3822 4116 4368 4459 5096 5488 7644 8232 8918 10192 13377 15288 16464 17836 26754 30576 33391 35672 53508 66782 71344 100173 107016 133564 200346 214032 233737 267128 400692 434083 467474 534256 701211 801384 868166 934948 1302249 1402422 1602768 1636159 1736332 1869896 2604498 2804844 3038581 3272318 3472664 3739792 4908477 5208996 5609688 6077162 6544636 6945328 9115743 9816954 10417992 11219376 11453113 12154324 13089272 18231486 19633908 20835984 21270067 22906226 24308648 26178544 34359339 36462972 39267816 42540134 45812452 48617296 63810201 68718678 72925944 78535632 85080268 91624904 127620402 137437356 145851888 148890469 170160536 183249808 255240804 274874712 297780938 340321072 446671407 510481608 549749424 595561876 893342814 1020963216 1191123752 1786685628 2382247504 3573371256 7146742512