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30208287732 = 22372157337971
BaseRepresentation
bin11100001000100011…
…011110001111110100
32212222021020000102120
4130020203132033310
5443331310201412
621513312235540
72116406131500
oct341043361764
985867200376
1030208287732
11118a1877757
125a3083bbb0
132b0559178c
141667d87300
15bbc06db8c
hex7088de3f4

30208287732 has 144 divisors (see below), whose sum is σ = 82846266048. Its totient is φ = 8541711360.

The previous prime is 30208287727. The next prime is 30208287763. The reversal of 30208287732 is 23778280203.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 31110007 + ... + 31110977.

It is an arithmetic number, because the mean of its divisors is an integer number (575321292).

Almost surely, 230208287732 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30208287732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41423133024).

30208287732 is an abundant number, since it is smaller than the sum of its proper divisors (52637978316).

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

30208287732 is a wasteful number, since it uses less digits than its factorization.

30208287732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 30208287732 in words is "thirty billion, two hundred eight million, two hundred eighty-seven thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 157 196 294 314 337 471 588 628 674 942 971 1011 1099 1348 1884 1942 2022 2198 2359 2913 3297 3884 4044 4396 4718 5826 6594 6797 7077 7693 9436 11652 13188 13594 14154 15386 16513 20391 23079 27188 28308 30772 33026 40782 46158 47579 49539 52909 66052 81564 92316 95158 99078 105818 142737 152447 158727 190316 198156 211636 285474 304894 317454 327227 370363 457341 570948 609788 634908 654454 740726 914682 981681 1067129 1111089 1308908 1481452 1829364 1963362 2134258 2222178 2290589 2592541 3201387 3926724 4268516 4444356 4581178 5185082 6402774 6871767 7469903 7777623 9162356 10370164 12805548 13743534 14939806 15555246 16034123 22409709 27487068 29879612 31110492 32068246 44819418 48102369 51374639 64136492 89638836 96204738 102749278 154123917 192409476 205498556 308247834 359622473 616495668 719244946 1078867419 1438489892 2157734838 2517357311 4315469676 5034714622 7552071933 10069429244 15104143866 30208287732