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30693112320 = 293513307423
BaseRepresentation
bin11100100101011100…
…111011101000000000
32221020001111122201210
4130211130323220000
51000324414043240
622033351530120
72134414102323
oct344534735000
987201448653
1030693112320
1112020509632
125b47089940
132b81b62430
1416b250c7ba
15be98da780
hex72573ba00

30693112320 has 160 divisors (see below), whose sum is σ = 105670236672. Its totient is φ = 7555203072.

The previous prime is 30693112313. The next prime is 30693112343. The reversal of 30693112320 is 2321139603.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53872 + ... + 253551.

Almost surely, 230693112320 is an apocalyptic number.

30693112320 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 30693112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52835118336).

30693112320 is an abundant number, since it is smaller than the sum of its proper divisors (74977124352).

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

30693112320 is a wasteful number, since it uses less digits than its factorization.

30693112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307462 (or 307446 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The spelling of 30693112320 in words is "thirty billion, six hundred ninety-three million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 512 520 624 640 768 780 832 960 1040 1248 1280 1536 1560 1664 1920 2080 2496 2560 3120 3328 3840 4160 4992 6240 6656 7680 8320 9984 12480 16640 19968 24960 33280 49920 99840 307423 614846 922269 1229692 1537115 1844538 2459384 3074230 3689076 3996499 4611345 4918768 6148460 7378152 7992998 9222690 9837536 11989497 12296920 14756304 15985996 18445380 19675072 19982495 23978994 24593840 29512608 31971992 36890760 39350144 39964990 47957988 49187680 59025216 59947485 63943984 73781520 78700288 79929980 95915976 98375360 118050432 119894970 127887968 147563040 157400576 159859960 191831952 196750720 236100864 239789940 255775936 295126080 319719920 383663904 393501440 472201728 479579880 511551872 590252160 639439840 767327808 787002880 959159760 1023103744 1180504320 1278879680 1534655616 1918319520 2046207488 2361008640 2557759360 3069311232 3836639040 5115518720 6138622464 7673278080 10231037440 15346556160 30693112320