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30612264540 = 223511132274451
BaseRepresentation
bin11100100000101000…
…100001011001011100
32221000102101011102120
4130200220201121130
51000143214431130
622021343022540
72132412645444
oct344050413134
987012334376
1030612264540
1111a89909490
125b23b9aa50
132b6b196200
1416a58a5124
15be276a910
hex720a2165c

30612264540 has 144 divisors (see below), whose sum is σ = 101253027456. Its totient is φ = 6850272000.

The previous prime is 30612264517. The next prime is 30612264577. The reversal of 30612264540 is 4546221603.

It is a super-2 number, since 2×306122645402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25686 + ... + 248765.

It is an arithmetic number, because the mean of its divisors is an integer number (703146024).

Almost surely, 230612264540 is an apocalyptic number.

30612264540 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 30612264540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50626513728).

30612264540 is an abundant number, since it is smaller than the sum of its proper divisors (70640762916).

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

30612264540 is a wasteful number, since it uses less digits than its factorization.

30612264540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274500 (or 274485 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 30612264540 in words is "thirty billion, six hundred twelve million, two hundred sixty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 169 195 220 260 286 330 338 390 429 507 572 660 676 715 780 845 858 1014 1430 1690 1716 1859 2028 2145 2535 2860 3380 3718 4290 5070 5577 7436 8580 9295 10140 11154 18590 22308 27885 37180 55770 111540 274451 548902 823353 1097804 1372255 1646706 2744510 3018961 3293412 3567863 4116765 5489020 6037922 7135726 8233530 9056883 10703589 12075844 14271452 15094805 16467060 17839315 18113766 21407178 30189610 35678630 36227532 39246493 42814356 45284415 46382219 53517945 60379220 71357260 78492986 90568830 92764438 107035890 117739479 139146657 156985972 181137660 185528876 196232465 214071780 231911095 235478958 278293314 392464930 463822190 470957916 510204409 556586628 588697395 695733285 784929860 927644380 1020408818 1177394790 1391466570 1530613227 2040817636 2354789580 2551022045 2782933140 3061226454 5102044090 6122452908 7653066135 10204088180 15306132270 30612264540