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1426326652332 = 2232312415579521
BaseRepresentation
bin10100110000010111101…
…100011000010110101100
312001100121011020022011100
4110300113230120112230
5141332104110333312
63011125002123100
7205022463335331
oct24602754302654
95040534208140
101426326652332
114aa9a12358aa
121b0521ab0490
13a466ac4a66a
144d06ac50988
152717e5395dc
hex14c17b185ac

1426326652332 has 144 divisors (see below), whose sum is σ = 3744286850304. Its totient is φ = 457325568000.

The previous prime is 1426326652327. The next prime is 1426326652349. The reversal of 1426326652332 is 2332566236241.

It is a happy number.

1426326652332 is a `hidden beast` number, since 1 + 4 + 2 + 6 + 3 + 266 + 52 + 332 = 666.

It is a super-2 number, since 2×14263266523322 (a number of 25 digits) contains 22 as substring.

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, 149803732 + ... + 149813252.

It is an arithmetic number, because the mean of its divisors is an integer number (26001992016).

Almost surely, 21426326652332 is an apocalyptic number.

1426326652332 is a gapful number since it is divisible by the number (12) 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 1426326652332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872143425152).

1426326652332 is an abundant number, since it is smaller than the sum of its proper divisors (2317960197972).

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

1426326652332 is a wasteful number, since it uses less digits than its factorization.

1426326652332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10360 (or 10355 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 45.

The spelling of 1426326652332 in words is "one trillion, four hundred twenty-six billion, three hundred twenty-six million, six hundred fifty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 241 279 372 482 557 558 723 964 1114 1116 1446 1671 2169 2228 2892 3342 4338 5013 6684 7471 8676 9521 10026 14942 17267 19042 20052 22413 28563 29884 34534 38084 44826 51801 57126 67239 69068 85689 89652 103602 114252 134237 134478 155403 171378 207204 268474 268956 295151 310806 342756 402711 536948 590302 621612 805422 885453 1180604 1208133 1610844 1770906 2294561 2416266 2656359 3541812 4161347 4589122 4832532 5303197 5312718 6883683 8322694 9178244 10606394 10625436 12484041 13767366 15909591 16645388 20651049 21212788 24968082 27534732 31819182 37452123 41302098 47728773 49936164 63638364 71131391 74904246 82604196 95457546 142262782 149808492 164399107 190915092 213394173 284525564 328798214 426788346 493197321 640182519 657596428 853576692 986394642 1278070477 1280365038 1479591963 1972789284 2556140954 2560730076 2959183926 3834211431 5112281908 5918367852 7668422862 11502634293 15336845724 23005268586 39620184787 46010537172 79240369574 118860554361 158480739148 237721108722 356581663083 475442217444 713163326166 1426326652332