Search a number
-
+
87353148740 = 225111379386621
BaseRepresentation
bin101000101011010100…
…1110100010101000100
322100110210100201210012
41101112221310111010
52412344401224430
6104043545045352
76211456341014
oct1212651642504
9270423321705
1087353148740
1134056636610
1214b1a486858
1383116571c0
144329581c44
152413ce4695
hex1456a74544

87353148740 has 96 divisors (see below), whose sum is σ = 218240386560. Its totient is φ = 28950105600.

The previous prime is 87353148731. The next prime is 87353148787. The reversal of 87353148740 is 4784135378.

It is a happy 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, 32630 + ... + 419250.

It is an arithmetic number, because the mean of its divisors is an integer number (2273337360).

Almost surely, 287353148740 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 87353148740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109120193280).

87353148740 is an abundant number, since it is smaller than the sum of its proper divisors (130887237820).

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

87353148740 is a wasteful number, since it uses less digits than its factorization.

87353148740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386733 (or 386731 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 50.

The spelling of 87353148740 in words is "eighty-seven billion, three hundred fifty-three million, one hundred forty-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 79 110 130 143 158 220 260 286 316 395 572 715 790 869 1027 1430 1580 1738 2054 2860 3476 4108 4345 5135 8690 10270 11297 17380 20540 22594 45188 56485 112970 225940 386621 773242 1546484 1933105 3866210 4252831 5026073 7732420 8505662 10052146 17011324 20104292 21264155 25130365 30543059 42528310 50260730 55286803 61086118 85056620 100521460 110573606 122172236 152715295 221147212 276434015 305430590 335973649 397059767 552868030 610861180 671947298 794119534 1105736060 1343894596 1588239068 1679868245 1985298835 3359736490 3970597670 4367657437 6719472980 7941195340 8735314874 17470629748 21838287185 43676574370 87353148740