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30692858976 = 2532138992111
BaseRepresentation
bin11100100101011011…
…111101110001100000
32221020001000210012200
4130211123331301200
51000324332441401
622033342253200
72134411665603
oct344533756140
987201023180
1030692858976
111202035625a
125b46b87200
132b81aa4020
1416b248433a
15be988a686
hex7256fdc60

30692858976 has 144 divisors (see below), whose sum is σ = 95054057280. Its totient is φ = 9337743360.

The previous prime is 30692858941. The next prime is 30692859007. The reversal of 30692858976 is 67985829603.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287161 + ... + 379271.

It is an arithmetic number, because the mean of its divisors is an integer number (660097620).

Almost surely, 230692858976 is an apocalyptic number.

30692858976 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 30692858976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47527028640).

30692858976 is an abundant number, since it is smaller than the sum of its proper divisors (64361198304).

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

30692858976 is a wasteful number, since it uses less digits than its factorization.

30692858976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92229 (or 92218 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 30692858976 in words is "thirty billion, six hundred ninety-two million, eight hundred fifty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 89 96 104 117 144 156 178 208 234 267 288 312 356 416 468 534 624 712 801 936 1068 1157 1248 1424 1602 1872 2136 2314 2848 3204 3471 3744 4272 4628 6408 6942 8544 9256 10413 12816 13884 18512 20826 25632 27768 37024 41652 55536 83304 92111 111072 166608 184222 276333 333216 368444 552666 736888 828999 1105332 1197443 1473776 1657998 2210664 2394886 2947552 3315996 3592329 4421328 4789772 6631992 7184658 8197879 8842656 9579544 10776987 13263984 14369316 16395758 19159088 21553974 24593637 26527968 28738632 32791516 38318176 43107948 49187274 57477264 65583032 73780911 86215896 98374548 106572427 114954528 131166064 147561822 172431792 196749096 213144854 262332128 295123644 319717281 344863584 393498192 426289708 590247288 639434562 786996384 852579416 959151843 1180494576 1278869124 1705158832 1918303686 2360989152 2557738248 3410317664 3836607372 5115476496 7673214744 10230952992 15346429488 30692858976