Search a number
-
+
30619126421460 = 22325331513916187
BaseRepresentation
bin1101111011001000100100…
…01001110101011111010100
311000102011022120021200202100
412331210102021311133110
513003130432330441320
6145042122115042100
76310105332215013
oct675442211653724
9130364276250670
1030619126421460
119835553698135
1235262375a0330
1314114a979bbb5
1477bd8b8b6a7a
15381718d54790
hex1bd9122757d4

30619126421460 has 72 divisors (see below), whose sum is σ = 93158615231136. Its totient is φ = 8140432386240.

The previous prime is 30619126421419. The next prime is 30619126421467. The reversal of 30619126421460 is 6412462191603.

30619126421460 is a `hidden beast` number, since 3 + 0 + 61 + 9 + 126 + 4 + 2 + 1 + 460 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30619126421467) 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, 256898514 + ... + 257017673.

It is an arithmetic number, because the mean of its divisors is an integer number (1293869655988).

Almost surely, 230619126421460 is an apocalyptic number.

30619126421460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30619126421460 is an abundant number, since it is smaller than the sum of its proper divisors (62539488809676).

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

30619126421460 is a wasteful number, since it uses less digits than its factorization.

30619126421460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513916533 (or 513916528 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 30619126421460 in words is "thirty trillion, six hundred nineteen billion, one hundred twenty-six million, four hundred twenty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 331 662 993 1324 1655 1986 2979 3310 3972 4965 5958 6620 9930 11916 14895 19860 29790 59580 513916187 1027832374 1541748561 2055664748 2569580935 3083497122 4625245683 5139161870 6166994244 7708742805 9250491366 10278323740 15417485610 18500982732 23126228415 30834971220 46252456830 92504913660 170106257897 340212515794 510318773691 680425031588 850531289485 1020637547382 1530956321073 1701062578970 2041275094764 2551593868455 3061912642146 3402125157940 5103187736910 6123825284292 7654781605365 10206375473820 15309563210730 30619126421460