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426197668380 = 2235112317185189
BaseRepresentation
bin1100011001110110101…
…11000101001000011100
31111202002110002210221220
412030323113011020130
523440323100342010
6523443103053340
742535401256641
oct6147327051034
91452073083856
10426197668380
11154827522400
126a7248a1250
1331262030973
14168b162ddc8
15b1467e5970
hex633b5c521c

426197668380 has 144 divisors (see below), whose sum is σ = 1315847544480. Its totient is φ = 102994158080.

The previous prime is 426197668363. The next prime is 426197668409. The reversal of 426197668380 is 83866791624.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2208826 + ... + 2394014.

It is an arithmetic number, because the mean of its divisors is an integer number (9137830170).

Almost surely, 2426197668380 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 426197668380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657923772240).

426197668380 is an abundant number, since it is smaller than the sum of its proper divisors (889649876100).

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

426197668380 is a wasteful number, since it uses less digits than its factorization.

426197668380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185540 (or 185527 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 426197668380 in words is "four hundred twenty-six billion, one hundred ninety-seven million, six hundred sixty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 317 330 363 484 605 634 660 726 951 1210 1268 1452 1585 1815 1902 2420 3170 3487 3630 3804 4755 6340 6974 7260 9510 10461 13948 17435 19020 20922 34870 38357 41844 52305 69740 76714 104610 115071 153428 185189 191785 209220 230142 370378 383570 460284 555567 575355 740756 767140 925945 1111134 1150710 1851890 2037079 2222268 2301420 2777835 3703780 4074158 5555670 6111237 8148316 10185395 11111340 12222474 20370790 22407869 24444948 30556185 40741580 44815738 58704913 61112370 67223607 89631476 112039345 117409826 122224740 134447214 176114739 224078690 234819652 268894428 293524565 336118035 352229478 448157380 587049130 645754043 672236070 704458956 880573695 1174098260 1291508086 1344472140 1761147390 1937262129 2583016172 3228770215 3522294780 3874524258 6457540430 7103294473 7749048516 9686310645 12915080860 14206588946 19372621290 21309883419 28413177892 35516472365 38745242580 42619766838 71032944730 85239533676 106549417095 142065889460 213098834190 426197668380