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30868507120 = 24511291677243
BaseRepresentation
bin11100101111111010…
…000000100111110000
32221200021112122011111
4130233322000213300
51001204314211440
622103015123104
72141643660403
oct345772004760
987607478144
1030868507120
1112100516310
125b95973494
132bac2b3139
1416cb927d3a
15c09ed44ea
hex72fe809f0

30868507120 has 160 divisors (see below), whose sum is σ = 81489784320. Its totient is φ = 10771461120.

The previous prime is 30868507099. The next prime is 30868507133. The reversal of 30868507120 is 2170586803.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4258219 + ... + 4265461.

It is an arithmetic number, because the mean of its divisors is an integer number (509311152).

Almost surely, 230868507120 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 30868507120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40744892160).

30868507120 is an abundant number, since it is smaller than the sum of its proper divisors (50621277200).

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

30868507120 is a wasteful number, since it uses less digits than its factorization.

30868507120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7463 (or 7457 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 30868507120 in words is "thirty billion, eight hundred sixty-eight million, five hundred seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 80 88 110 116 145 167 176 220 232 290 319 334 440 464 580 638 668 835 880 1160 1276 1336 1595 1670 1837 2320 2552 2672 3190 3340 3674 4843 5104 6380 6680 7243 7348 9185 9686 12760 13360 14486 14696 18370 19372 24215 25520 28972 29392 36215 36740 38744 48430 53273 57944 72430 73480 77488 79673 96860 106546 115888 144860 146960 159346 193720 210047 213092 266365 289720 318692 387440 398365 420094 426184 532730 579440 637384 796730 840188 852368 1050235 1065460 1209581 1274768 1593460 1680376 2100470 2130920 2310517 2419162 3186920 3360752 4200940 4261840 4621034 4838324 6047905 6373840 8401880 9242068 9676648 11552585 12095810 13305391 16803760 18484136 19353296 23105170 24191620 26610782 35077849 36968272 46210340 48383240 53221564 66526955 70155698 92420680 96766480 106443128 133053910 140311396 175389245 184841360 212886256 266107820 280622792 350778490 385856339 532215640 561245584 701556980 771712678 1064431280 1403113960 1543425356 1929281695 2806227920 3086850712 3858563390 6173701424 7717126780 15434253560 30868507120