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4677376140 = 22325235321317
BaseRepresentation
bin1000101101100101…
…10001100010001100
3110001222022022211100
410112302301202030
534034402014030
62052044223100
7223624020063
oct42662614214
913058268740
104677376140
111a90290a18
12aa653aa90
1359706c2b8
143252bd1da
151c5979360
hex116cb188c

4677376140 has 144 divisors (see below), whose sum is σ = 15084957888. Its totient is φ = 1170504192.

The previous prime is 4677376139. The next prime is 4677376153. The reversal of 4677376140 is 416737764.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208762 + ... + 230078.

It is an arithmetic number, because the mean of its divisors is an integer number (104756652).

Almost surely, 24677376140 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 4677376140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7542478944).

4677376140 is an abundant number, since it is smaller than the sum of its proper divisors (10407581748).

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

4677376140 is a wasteful number, since it uses less digits than its factorization.

4677376140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21408 (or 21403 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The square root of 4677376140 is about 68391.3455051149. The cubic root of 4677376140 is about 1672.3766631350.

The spelling of 4677376140 in words is "four billion, six hundred seventy-seven million, three hundred seventy-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 53 60 69 90 92 106 115 138 159 180 207 212 230 265 276 318 345 414 460 477 530 636 690 795 828 954 1035 1060 1219 1380 1590 1908 2070 2385 2438 3180 3657 4140 4770 4876 6095 7314 9540 10971 12190 14628 18285 21317 21942 24380 36570 42634 43884 54855 63951 73140 85268 106585 109710 127902 191853 213170 219420 255804 319755 383706 426340 490291 639510 767412 959265 980582 1129801 1279020 1470873 1918530 1961164 2259602 2451455 2941746 3389403 3837060 4412619 4519204 4902910 5649005 5883492 6778806 7354365 8825238 9805820 10168209 11298010 13557612 14708730 16947015 17650476 20336418 22063095 22596020 25985423 29417460 33894030 40672836 44126190 50841045 51970846 67788060 77956269 88252380 101682090 103941692 129927115 155912538 203364180 233868807 259854230 311825076 389781345 467737614 519708460 779562690 935475228 1169344035 1559125380 2338688070 4677376140