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189517446484380 = 223257349430976137
BaseRepresentation
bin101011000101110101111000…
…000100111001000110011100
3220212000200122200211022211200
4223011311320010321012130
5144320023212300000010
61511023040223515500
754630116665506510
oct5305657004710634
9825020580738750
10189517446484380
1155427996915873
1219309901458b90
138199559644741
1434b299c7b6140
1516d9bb4ed6cc0
hexac5d7813919c

189517446484380 has 144 divisors (see below), whose sum is σ = 658876319774400. Its totient is φ = 43194152254464.

The previous prime is 189517446484349. The next prime is 189517446484391. The reversal of 189517446484380 is 83484644715981.

189517446484380 is a `hidden beast` number, since 1 + 8 + 9 + 5 + 1 + 7 + 4 + 464 + 84 + 3 + 80 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 189517446484299 and 189517446484308.

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, 215048329 + ... + 215927808.

Almost surely, 2189517446484380 is an apocalyptic number.

189517446484380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

189517446484380 is an abundant number, since it is smaller than the sum of its proper divisors (469358873290020).

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

189517446484380 is a wasteful number, since it uses less digits than its factorization.

189517446484380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430976508 (or 430976503 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 72.

The spelling of 189517446484380 in words is "one hundred eighty-nine trillion, five hundred seventeen billion, four hundred forty-six million, four hundred eighty-four thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 349 420 630 698 1047 1260 1396 1745 2094 2443 3141 3490 4188 4886 5235 6282 6980 7329 9772 10470 12215 12564 14658 15705 20940 21987 24430 29316 31410 36645 43974 48860 62820 73290 87948 109935 146580 219870 439740 430976137 861952274 1292928411 1723904548 2154880685 2585856822 3016832959 3878785233 4309761370 5171713644 6033665918 6464642055 7757570466 8619522740 9050498877 12067331836 12929284110 15084164795 15515140932 18100997754 19393926165 25858568220 27151496631 30168329590 36201995508 38787852330 45252494385 54302993262 60336659180 77575704660 90504988770 108605986524 135757483155 150410671813 181009977540 271514966310 300821343626 451232015439 543029932620 601642687252 752053359065 902464030878 1052874702691 1353696046317 1504106718130 1804928061756 2105749405382 2256160077195 2707392092634 3008213436260 3158624108073 4211498810764 4512320154390 5264373513455 5414784185268 6317248216146 6768480231585 9024640308780 9475872324219 10528747026910 12634496432292 13536960463170 15793120540365 18951744648438 21057494053820 27073920926340 31586241080730 37903489296876 47379361621095 63172482161460 94758723242190 189517446484380