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4961640840 = 2335135415879
BaseRepresentation
bin1001001111011110…
…01010000110001000
3110210210012110200120
410213233022012020
540130140001330
62140201103240
7233645152122
oct44757120610
913723173616
104961640840
112116798222
12b65787b20
13610c1ab70
14350d58212
151e08cac10
hex127bca188

4961640840 has 128 divisors (see below), whose sum is σ = 16062278400. Its totient is φ = 1218862080.

The previous prime is 4961640833. The next prime is 4961640841. The reversal of 4961640840 is 480461694.

It is a junction number, because it is equal to n+sod(n) for n = 4961640792 and 4961640801.

It is not an unprimeable number, because it can be changed into a prime (4961640841) 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, 841021 + ... + 846899.

It is an arithmetic number, because the mean of its divisors is an integer number (125486550).

Almost surely, 24961640840 is an apocalyptic number.

4961640840 is a gapful number since it is divisible by the number (40) 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 4961640840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8031139200).

4961640840 is an abundant number, since it is smaller than the sum of its proper divisors (11100637560).

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

4961640840 is a wasteful number, since it uses less digits than its factorization.

4961640840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6447 (or 6443 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 4961640840 is about 70438.9156645671. The cubic root of 4961640840 is about 1705.5918333667.

The spelling of 4961640840 in words is "four billion, nine hundred sixty-one million, six hundred forty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 541 780 1082 1560 1623 2164 2705 3246 4328 5410 5879 6492 7033 8115 10820 11758 12984 14066 16230 17637 21099 21640 23516 28132 29395 32460 35165 35274 42198 47032 56264 58790 64920 70330 70548 76427 84396 88185 105495 117580 140660 141096 152854 168792 176370 210990 229281 235160 281320 305708 352740 382135 421980 458562 611416 705480 764270 843960 917124 1146405 1528540 1834248 2292810 3057080 3180539 4585620 6361078 9171240 9541617 12722156 15902695 19083234 25444312 31805390 38166468 41347007 47708085 63610780 76332936 82694014 95416170 124041021 127221560 165388028 190832340 206735035 248082042 330776056 381664680 413470070 496164084 620205105 826940140 992328168 1240410210 1653880280 2480820420 4961640840