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255530061540 = 2232513472323423
BaseRepresentation
bin1110110111111011000…
…1110100111011100100
3220102120022220002102100
43231332301310323210
513141311143432130
6313220000012100
724314162454105
oct3557661647344
9812508802370
10255530061540
1199408070346
1241634601030
131b133999860
14c5210523ac
1569a8575c60
hex3b7ec74ee4

255530061540 has 144 divisors (see below), whose sum is σ = 852492146688. Its totient is φ = 61561389312.

The previous prime is 255530061517. The next prime is 255530061593. The reversal of 255530061540 is 45160035552.

255530061540 is a `hidden beast` number, since 2 + 5 + 5 + 5 + 30 + 0 + 615 + 4 + 0 = 666.

It is a super-2 number, since 2×2555300615402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 255530061495 and 255530061504.

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, 1051732 + ... + 1271691.

It is an arithmetic number, because the mean of its divisors is an integer number (5920084352).

Almost surely, 2255530061540 is an apocalyptic number.

255530061540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

255530061540 is an abundant number, since it is smaller than the sum of its proper divisors (596962085148).

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

255530061540 is a wasteful number, since it uses less digits than its factorization.

255530061540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2323498 (or 2323493 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 255530061540 in words is "two hundred fifty-five billion, five hundred thirty million, sixty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 47 52 60 65 78 90 94 117 130 141 156 180 188 195 234 235 260 282 390 423 468 470 564 585 611 705 780 846 940 1170 1222 1410 1692 1833 2115 2340 2444 2820 3055 3666 4230 5499 6110 7332 8460 9165 10998 12220 18330 21996 27495 36660 54990 109980 2323423 4646846 6970269 9293692 11617115 13940538 20910807 23234230 27881076 30204499 34851345 41821614 46468460 60408998 69702690 83643228 90613497 104554035 109200881 120817996 139405380 151022495 181226994 209108070 218401762 271840491 302044990 327602643 362453988 418216140 436803524 453067485 543680982 546004405 604089980 655205286 906134970 982807929 1087361964 1092008810 1310410572 1359202455 1419611453 1638013215 1812269940 1965615858 2184017620 2718404910 2839222906 3276026430 3931231716 4258834359 4914039645 5436809820 5678445812 6552052860 7098057265 8517668718 9828079290 12776503077 14196114530 17035337436 19656158580 21294171795 25553006154 28392229060 42588343590 51106012308 63882515385 85176687180 127765030770 255530061540