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30677710320 = 24325291469239
BaseRepresentation
bin11100100100100010…
…001011010111110000
32221011222112011011100
4130210202023113300
51000311443212240
622032041444400
72134136143455
oct344442132760
987158464140
1030677710320
1112012849904
125b41aa0700
132b7b8cbb1a
1416b045d82c
15be8396e30
hex72488b5f0

30677710320 has 120 divisors (see below), whose sum is σ = 106578669600. Its totient is φ = 7898623488.

The previous prime is 30677710253. The next prime is 30677710321. The reversal of 30677710320 is 2301777603.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×306777103202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30677710321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 713740 + ... + 755499.

It is an arithmetic number, because the mean of its divisors is an integer number (888155580).

Almost surely, 230677710320 is an apocalyptic number.

30677710320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30677710320 is an abundant number, since it is smaller than the sum of its proper divisors (75900959280).

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

30677710320 is a wasteful number, since it uses less digits than its factorization.

30677710320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469287 (or 1469278 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 36.

The spelling of 30677710320 in words is "thirty billion, six hundred seventy-seven million, seven hundred ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 36 40 45 48 58 60 72 80 87 90 116 120 144 145 174 180 232 240 261 290 348 360 435 464 522 580 696 720 870 1044 1160 1305 1392 1740 2088 2320 2610 3480 4176 5220 6960 10440 20880 1469239 2938478 4407717 5876956 7346195 8815434 11753912 13223151 14692390 17630868 22038585 23507824 26446302 29384780 35261736 42607931 44077170 52892604 58769560 66115755 70523472 85215862 88154340 105785208 117539120 127823793 132231510 170431724 176308680 211570416 213039655 255647586 264463020 340863448 352617360 383471379 426079310 511295172 528926040 639118965 681726896 766942758 852158620 1022590344 1057852080 1278237930 1533885516 1704317240 1917356895 2045180688 2556475860 3067771032 3408634480 3834713790 5112951720 6135542064 7669427580 10225903440 15338855160 30677710320