Search a number
-
+
4670601605140 = 22543128919792129
BaseRepresentation
bin100001111110111010110…
…0011001011000000010100
3121112111122020220220101211
41003331311203023000110
51103010343002331030
613533351133431204
7661303601413462
oct103756543130024
917474566826354
104670601605140
111540877931069
1263523b03b504
1327b58870b953
141220b607d832
158175e17212a
hex43f758cb014

4670601605140 has 96 divisors (see below), whose sum is σ = 10053944208000. Its totient is φ = 1821600141312.

The previous prime is 4670601605123. The next prime is 4670601605143. The reversal of 4670601605140 is 415061060764.

It is a junction number, because it is equal to n+sod(n) for n = 4670601605093 and 4670601605102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4670601605143) 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, 2193799596 + ... + 2193801724.

It is an arithmetic number, because the mean of its divisors is an integer number (104728585500).

Almost surely, 24670601605140 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 4670601605140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5026972104000).

4670601605140 is an abundant number, since it is smaller than the sum of its proper divisors (5383342602860).

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

4670601605140 is a wasteful number, since it uses less digits than its factorization.

4670601605140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5449 (or 5447 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 4670601605140 in words is "four trillion, six hundred seventy billion, six hundred one million, six hundred five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 860 1289 1979 2129 2578 3958 4258 5156 6445 7916 8516 9895 10645 12890 19790 21290 25780 39580 42580 55427 85097 91547 110854 170194 183094 221708 277135 340388 366188 425485 457735 554270 850970 915470 1108540 1701940 1830940 2550931 2744281 4213291 5101862 5488562 8426582 10203724 10977124 12754655 13721405 16853164 21066455 25509310 27442810 42132910 51018620 54885620 84265820 109690033 118004083 181171513 219380066 236008166 362343026 438760132 472016332 548450165 590020415 724686052 905857565 1096900330 1180040830 1811715130 2193800660 2360081660 3623430260 5430932099 10861864198 21723728396 27154660495 54309320990 108618641980 233530080257 467060160514 934120321028 1167650401285 2335300802570 4670601605140