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30350709936 = 24331272272437
BaseRepresentation
bin11100010001000010…
…110001010010110000
32220100012012210222000
4130101002301102300
5444124240204221
621535401014000
72123055530541
oct342102612260
986305183860
1030350709936
1111965203658
125a70484300
132b28c39481
14167cc5c4c8
15bc9802e26
hex7110b14b0

30350709936 has 160 divisors (see below), whose sum is σ = 88226734080. Its totient is φ = 9988925184.

The previous prime is 30350709931. The next prime is 30350709959. The reversal of 30350709936 is 63990705303.

It is a junction number, because it is equal to n+sod(n) for n = 30350709891 and 30350709900.

It is not an unprimeable number, because it can be changed into a prime (30350709931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12452910 + ... + 12455346.

It is an arithmetic number, because the mean of its divisors is an integer number (551417088).

Almost surely, 230350709936 is an apocalyptic number.

30350709936 is a gapful number since it is divisible by the number (36) 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 30350709936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44113367040).

30350709936 is an abundant number, since it is smaller than the sum of its proper divisors (57876024144).

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

30350709936 is a wasteful number, since it uses less digits than its factorization.

30350709936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2808 (or 2796 counting only the distinct ones).

The product of its (nonzero) digits is 459270, while the sum is 45.

The spelling of 30350709936 in words is "thirty billion, three hundred fifty million, seven hundred nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 127 144 216 227 254 381 432 454 508 681 762 908 1016 1143 1362 1524 1816 2032 2043 2286 2437 2724 3048 3429 3632 4086 4572 4874 5448 6096 6129 6858 7311 8172 9144 9748 10896 12258 13716 14622 16344 18288 19496 21933 24516 27432 28829 29244 32688 38992 43866 49032 54864 57658 58488 65799 86487 87732 98064 115316 116976 131598 172974 175464 230632 259461 263196 309499 345948 350928 461264 518922 526392 553199 618998 691896 778383 928497 1037844 1052784 1106398 1237996 1383792 1556766 1659597 1856994 2075688 2212796 2475992 2785491 3113532 3319194 3713988 4151376 4425592 4951984 4978791 5570982 6227064 6638388 7427976 8356473 8851184 9957582 11141964 12454128 13276776 14855952 14936373 16712946 19915164 22283928 26553552 29872746 33425892 39830328 44567856 59745492 66851784 70256273 79660656 119490984 133703568 140512546 210768819 238981968 281025092 421537638 562050184 632306457 843075276 1124100368 1264612914 1686150552 1896919371 2529225828 3372301104 3793838742 5058451656 7587677484 10116903312 15175354968 30350709936