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634398893436 = 2237111936135731
BaseRepresentation
bin10010011101101010001…
…11101110010101111100
32020122111100102220020110
421032311013232111330
540343222104042221
61203234441550020
763555665423040
oct11166507562574
92218440386213
10634398893436
11225057700350
12a2b4aaa5310
1347a92488a19
14229c29da020
151177ec62776
hex93b51ee57c

634398893436 has 96 divisors (see below), whose sum is σ = 1942656952320. Its totient is φ = 156106353600.

The previous prime is 634398893407. The next prime is 634398893437.

634398893436 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634398893437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18050310 + ... + 18085421.

It is an arithmetic number, because the mean of its divisors is an integer number (20236009920).

Almost surely, 2634398893436 is an apocalyptic number.

634398893436 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

634398893436 is an abundant number, since it is smaller than the sum of its proper divisors (1308258058884).

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

634398893436 is a wasteful number, since it uses less digits than its factorization.

634398893436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36135775 (or 36135773 counting only the distinct ones).

The product of its digits is 241864704, while the sum is 66.

The spelling of 634398893436 in words is "six hundred thirty-four billion, three hundred ninety-eight million, eight hundred ninety-three thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 11 12 14 19 21 22 28 33 38 42 44 57 66 76 77 84 114 132 133 154 209 228 231 266 308 399 418 462 532 627 798 836 924 1254 1463 1596 2508 2926 4389 5852 8778 17556 36135731 72271462 108407193 144542924 216814386 252950117 397493041 433628772 505900234 686578889 758850351 794986082 1011800468 1192479123 1373157778 1517700702 1589972164 2059736667 2384958246 2746315556 2782451287 3035401404 4119473334 4769916492 4806052223 5564902574 7552367779 8238946668 8347353861 9612104446 11129805148 14418156669 15104735558 16694707722 19224208892 22657103337 28836313338 30209471116 33389415444 45314206674 52866574453 57672626676 90628413348 105733148906 158599723359 211466297812 317199446718 634398893436