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30954249456 = 24313193184221
BaseRepresentation
bin11100110101000001…
…000101110011110000
32221220020212210112120
4130311001011303300
51001343241440311
622115320554240
72144034531144
oct346501056360
987806783476
1030954249456
1112144959849
125bba622980
132bc3ca4150
1416d9087224
15c127be706
hex735045cf0

30954249456 has 160 divisors (see below), whose sum is σ = 93574010880. Its totient is φ = 8731929600.

The previous prime is 30954249409. The next prime is 30954249467. The reversal of 30954249456 is 65494245903.

It is a junction number, because it is equal to n+sod(n) for n = 30954249399 and 30954249408.

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, 325426 + ... + 409646.

It is an arithmetic number, because the mean of its divisors is an integer number (584837568).

Almost surely, 230954249456 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 30954249456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46787005440).

30954249456 is an abundant number, since it is smaller than the sum of its proper divisors (62619761424).

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

30954249456 is a wasteful number, since it uses less digits than its factorization.

30954249456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84295 (or 84289 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 51.

The spelling of 30954249456 in words is "thirty billion, nine hundred fifty-four million, two hundred forty-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 31 38 39 48 52 57 62 76 78 93 104 114 124 152 156 186 208 228 247 248 304 312 372 403 456 494 496 589 624 741 744 806 912 988 1178 1209 1482 1488 1612 1767 1976 2356 2418 2964 3224 3534 3952 4712 4836 5928 6448 7068 7657 9424 9672 11856 14136 15314 19344 22971 28272 30628 45942 61256 84221 91884 122512 168442 183768 252663 336884 367536 505326 673768 1010652 1094873 1347536 1600199 2021304 2189746 2610851 3200398 3284619 4042608 4379492 4800597 5221702 6400796 6569238 7832553 8758984 9601194 10443404 12801592 13138476 15665106 17517968 19202388 20802587 20886808 25603184 26276952 31330212 33941063 38404776 41605174 41773616 49606169 52553904 62407761 62660424 67882126 76809552 83210348 99212338 101823189 124815522 125320848 135764252 148818507 166420696 198424676 203646378 249631044 271528504 297637014 332841392 396849352 407292756 499262088 543057008 595274028 644880197 793698704 814585512 998524176 1190548056 1289760394 1629171024 1934640591 2381096112 2579520788 3869281182 5159041576 7738562364 10318083152 15477124728 30954249456