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30428399233620 = 22325973203544099
BaseRepresentation
bin1101110101100101010011…
…11011010110101001010100
310222201221000110102200012100
412322302221323112221110
512442014330200433440
6144414340313322100
76260244045654543
oct672625173265124
9128657013380170
1030428399233620
119771680111a63
1234b5289406330
1313c95025cbb2b
14772a5714415a
1537b7a49ea230
hex1baca9ed6a54

30428399233620 has 144 divisors (see below), whose sum is σ = 93280303771200. Its totient is φ = 8028065875968.

The previous prime is 30428399233571. The next prime is 30428399233627. The reversal of 30428399233620 is 2633299382403.

It is a happy number.

30428399233620 is a `hidden beast` number, since 3 + 0 + 4 + 2 + 8 + 3 + 9 + 9 + 2 + 3 + 3 + 620 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30428399233627) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55652331 + ... + 56196429.

It is an arithmetic number, because the mean of its divisors is an integer number (647779887300).

Almost surely, 230428399233620 is an apocalyptic number.

30428399233620 is a gapful number since it is divisible by the number (30) 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 30428399233620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46640151885600).

30428399233620 is an abundant number, since it is smaller than the sum of its proper divisors (62851904537580).

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

30428399233620 is a wasteful number, since it uses less digits than its factorization.

30428399233620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547414 (or 547409 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 54.

The spelling of 30428399233620 in words is "thirty trillion, four hundred twenty-eight billion, three hundred ninety-nine million, two hundred thirty-three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 97 180 194 291 388 485 582 873 970 1164 1455 1746 1940 2910 3203 3492 4365 5820 6406 8730 9609 12812 16015 17460 19218 28827 32030 38436 48045 57654 64060 96090 115308 144135 192180 288270 310691 544099 576540 621382 932073 1088198 1242764 1553455 1632297 1864146 2176396 2720495 2796219 3106910 3264594 3728292 4660365 4896891 5440990 5592438 6213820 6529188 8161485 9320730 9793782 10881980 11184876 13981095 16322970 18641460 19587564 24484455 27962190 32645940 48968910 52777603 55924380 97937820 105555206 158332809 211110412 263888015 316665618 474998427 527776030 633331236 791664045 949996854 1055552060 1583328090 1742749097 1899993708 2374992135 3166656180 3485498194 4749984270 5228247291 6970996388 8713745485 9499968540 10456494582 15684741873 17427490970 20912989164 26141236455 31369483746 34854981940 52282472910 62738967492 78423709365 104564945820 156847418730 169046662409 313694837460 338093324818 507139987227 676186649636 845233312045 1014279974454 1521419961681 1690466624090 2028559948908 2535699936135 3042839923362 3380933248180 5071399872270 6085679846724 7607099808405 10142799744540 15214199616810 30428399233620