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30154990718736 = 2432132352012
BaseRepresentation
bin1101101101101000000011…
…00000101000111100010000
310221202210022011002001102100
412312310001200220330100
512423024410110444421
6144045002252120400
76231424531640652
oct666640140507420
9127683264061370
1030154990718736
119676729138044
1234702a5466100
1313a97ac94a900
1476371b8a46d2
15374601ac9c26
hex1b6d01828f10

30154990718736 has 135 divisors (see below), whose sum is σ = 91385749075647. Its totient is φ = 9278195097600.

The previous prime is 30154990718731. The next prime is 30154990718737. The reversal of 30154990718736 is 63781709945103.

The square root of 30154990718736 is 5491356.

It is a perfect power (a square), and thus also a powerful number.

30154990718736 is a `hidden beast` number, since 3 + 0 + 1 + 5 + 499 + 0 + 71 + 8 + 73 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2854950915600 + 27300039803136 = 1689660^2 + 5224944^2 .

It is a super-2 number, since 2×301549907187362 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30154990718731) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 856633936 + ... + 856669136.

Almost surely, 230154990718736 is an apocalyptic number.

30154990718736 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

30154990718736 is the 5491356-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30154990718736

30154990718736 is an abundant number, since it is smaller than the sum of its proper divisors (61230758356911).

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

30154990718736 is an frugal number, since it uses more digits than its factorization.

30154990718736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70442 (or 35219 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 30154990718736 in words is "thirty trillion, one hundred fifty-four billion, nine hundred ninety million, seven hundred eighteen thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 936 1014 1352 1521 1872 2028 2704 3042 4056 6084 8112 12168 24336 35201 70402 105603 140804 211206 281608 316809 422412 457613 563216 633618 844824 915226 1267236 1372839 1689648 1830452 2534472 2745678 3660904 4118517 5068944 5491356 5948969 7321808 8237034 10982712 11897938 16474068 17846907 21965424 23795876 32948136 35693814 47591752 53540721 65896272 71387628 95183504 107081442 142775256 214162884 285550512 428325768 856651536 1239110401 2478220802 3717331203 4956441604 7434662406 9912883208 11151993609 14869324812 16108435213 19825766416 22303987218 29738649624 32216870426 44607974436 48325305639 59477299248 64433740852 89215948872 96650611278 128867481704 144975916917 178431897744 193301222556 209409657769 257734963408 289951833834 386602445112 418819315538 579903667668 628228973307 773204890224 837638631076 1159807335336 1256457946614 1675277262152 1884686919921 2319614670672 2512915893228 3350554524304 3769373839842 5025831786456 7538747679684 10051663572912 15077495359368 30154990718736