Search a number
-
+
147481164540 = 2232517371302607
BaseRepresentation
bin1000100101011010001…
…1111111101011111100
3112002200012211102012100
42021112203333223330
54404020134231130
6151430225105100
713440502133433
oct2112643775374
9462605742170
10147481164540
11576012aa856
12246bb188190
1310ba4786988
1471d103a11a
153c828d2c60
hex22568ffafc

147481164540 has 144 divisors (see below), whose sum is σ = 486477194112. Its totient is φ = 36014450688.

The previous prime is 147481164521. The next prime is 147481164619. The reversal of 147481164540 is 45461184741.

147481164540 is a `hidden beast` number, since 1 + 4 + 7 + 48 + 1 + 1 + 64 + 540 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 538084 + ... + 764523.

It is an arithmetic number, because the mean of its divisors is an integer number (3378313848).

Almost surely, 2147481164540 is an apocalyptic number.

147481164540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

147481164540 is an abundant number, since it is smaller than the sum of its proper divisors (338996029572).

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

147481164540 is a wasteful number, since it uses less digits than its factorization.

147481164540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302676 (or 1302671 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

It can be divided in two parts, 1474811 and 64540, that added together give a palindrome (1539351).

The spelling of 147481164540 in words is "one hundred forty-seven billion, four hundred eighty-one million, one hundred sixty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 37 45 51 60 68 74 85 90 102 111 148 153 170 180 185 204 222 255 306 333 340 370 444 510 555 612 629 666 740 765 1020 1110 1258 1332 1530 1665 1887 2220 2516 3060 3145 3330 3774 5661 6290 6660 7548 9435 11322 12580 18870 22644 28305 37740 56610 113220 1302607 2605214 3907821 5210428 6513035 7815642 11723463 13026070 15631284 19539105 22144319 23446926 26052140 39078210 44288638 46893852 48196459 58617315 66432957 78156420 88577276 96392918 110721595 117234630 132865914 144589377 192785836 199298871 221443190 234469260 240982295 265731828 289178754 332164785 398597742 433768131 442886380 481964590 578357508 664329570 722946885 797195484 819339803 867536262 963929180 996494355 1328659140 1445893770 1638679606 1735072524 1992988710 2168840655 2458019409 2891787540 3277359212 3985977420 4096699015 4337681310 4916038818 7374058227 8193398030 8675362620 9832077636 12290097045 14748116454 16386796060 24580194090 29496232908 36870291135 49160388180 73740582270 147481164540