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30960074820136 = 237111391778320333
BaseRepresentation
bin1110000101000011101000…
…10000110000101000101000
311001121202100211211220101211
413002201310100300220220
513024222213123221021
6145502510110322504
76343535341615030
oct702416420605050
9131552324756354
1030960074820136
119957104121430
12358032a4b9434
1314376a3cc0cb7
147906931408c0
1538a5213d73e1
hex1c2874430a28

30960074820136 has 128 divisors (see below), whose sum is σ = 72902562969600. Its totient is φ = 11974324826880.

The previous prime is 30960074820127. The next prime is 30960074820137. The reversal of 30960074820136 is 63102847006903.

It is a self number, because there is not a number n which added to its sum of digits gives 30960074820136.

It is not an unprimeable number, because it can be changed into a prime (30960074820137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1522641426 + ... + 1522661758.

It is an arithmetic number, because the mean of its divisors is an integer number (569551273200).

Almost surely, 230960074820136 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 30960074820136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36451281484800).

30960074820136 is an abundant number, since it is smaller than the sum of its proper divisors (41942488149464).

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

30960074820136 is a wasteful number, since it uses less digits than its factorization.

30960074820136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38279 (or 38275 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 49.

The spelling of 30960074820136 in words is "thirty trillion, nine hundred sixty billion, seventy-four million, eight hundred twenty thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 139 154 278 308 556 616 973 1112 1529 1946 3058 3892 6116 7784 10703 12232 17783 20333 21406 35566 40666 42812 71132 81332 85624 124481 142264 142331 162664 195613 223663 248962 284662 391226 447326 497924 569324 782452 894652 995848 1138648 1369291 1564904 1565641 1789304 2471837 2738582 2826287 3131282 4943674 5477164 5652574 6262564 9887348 10954328 11305148 12525128 17302859 19774696 19784009 22610296 27190207 31089157 34605718 39568018 54380414 62178314 69211436 79136036 108760828 124356628 138422872 158272072 190331449 217521656 217624099 248713256 361581739 380662898 435248198 723163478 761325796 870496396 1446326956 1522651592 1740992792 2531072173 2892653912 3977399129 5062144346 7954798258 10124288692 15909596516 20248577384 27841793903 31819193032 50259861721 55683587806 100519723442 111367175612 201039446884 222734351224 351819032047 402078893768 552858478931 703638064094 1105716957862 1407276128188 2211433915724 2814552256376 3870009352517 4422867831448 7740018705034 15480037410068 30960074820136