Search a number
-
+
5581678960 = 24511133115739
BaseRepresentation
bin1010011001011000…
…11010100101110000
3112101222220200002101
411030230122211300
542412402211320
62321510430144
7255214326334
oct51454324560
915358820071
105581678960
112404792020
1210b9362354
136ac511320
143ad4397c4
1522a055c0a
hex14cb1a970

5581678960 has 160 divisors (see below), whose sum is σ = 15738992640. Its totient is φ = 1813017600.

The previous prime is 5581678933. The next prime is 5581678997. The reversal of 5581678960 is 698761855.

It is a Harshad number since it is a multiple of its sum of digits (55).

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, 346771 + ... + 362509.

It is an arithmetic number, because the mean of its divisors is an integer number (98368704).

Almost surely, 25581678960 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 5581678960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7869496320).

5581678960 is an abundant number, since it is smaller than the sum of its proper divisors (10157313680).

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

5581678960 is a wasteful number, since it uses less digits than its factorization.

5581678960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15807 (or 15801 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 55.

The square root of 5581678960 is about 74710.6348520744. The cubic root of 5581678960 is about 1773.8693014395.

The spelling of 5581678960 in words is "five billion, five hundred eighty-one million, six hundred seventy-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 31 40 44 52 55 62 65 80 88 104 110 124 130 143 155 176 208 220 248 260 286 310 341 403 440 496 520 572 620 682 715 806 880 1040 1144 1240 1364 1430 1612 1705 2015 2288 2480 2728 2860 3224 3410 4030 4433 5456 5720 6448 6820 8060 8866 11440 13640 15739 16120 17732 22165 27280 31478 32240 35464 44330 62956 70928 78695 88660 125912 157390 173129 177320 204607 251824 314780 346258 354640 409214 487909 629560 692516 818428 865645 975818 1023035 1259120 1385032 1636856 1731290 1951636 2046070 2250677 2439545 2770064 3273712 3462580 3903272 4092140 4501354 4879090 5366999 6342817 6925160 7806544 8184280 9002708 9758180 10733998 11253385 12685634 13850320 16368560 18005416 19516360 21467996 22506770 25371268 26834995 31714085 36010832 39032720 42935992 45013540 50742536 53669990 63428170 69770987 85871984 90027080 101485072 107339980 126856340 139541974 180054160 214679960 253712680 279083948 348854935 429359920 507425360 558167896 697709870 1116335792 1395419740 2790839480 5581678960