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58021795480 = 23511239759107
BaseRepresentation
bin110110000010010111…
…100101011010011000
312112202122020121022011
4312002113211122120
51422312034423410
642353240235304
74122556060405
oct660227453230
9175678217264
1058021795480
11226748777a0
12b2b346bb34
13561897457c
142b45c6d2ac
151798c4818a
hexd825e5698

58021795480 has 128 divisors (see below), whose sum is σ = 150143777280. Its totient is φ = 19973099520.

The previous prime is 58021795459. The next prime is 58021795499. The reversal of 58021795480 is 8459712085.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 952087 + ... + 1011193.

It is an arithmetic number, because the mean of its divisors is an integer number (1172998260).

Almost surely, 258021795480 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 58021795480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75071888640).

58021795480 is an abundant number, since it is smaller than the sum of its proper divisors (92121981800).

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

58021795480 is a wasteful number, since it uses less digits than its factorization.

58021795480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59249 (or 59245 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 49.

The spelling of 58021795480 in words is "fifty-eight billion, twenty-one million, seven hundred ninety-five thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 97 110 115 184 194 220 230 253 388 440 460 485 506 776 920 970 1012 1067 1265 1940 2024 2134 2231 2530 3880 4268 4462 5060 5335 8536 8924 10120 10670 11155 17848 21340 22310 24541 42680 44620 49082 59107 89240 98164 118214 122705 196328 236428 245410 295535 472856 490820 591070 650177 981640 1182140 1300354 1359461 2364280 2600708 2718922 3250885 5201416 5437844 5733379 6501770 6797305 10875688 11466758 13003540 13594610 14954071 22933516 26007080 27189220 28666895 29908142 45867032 54378440 57333790 59816284 63067169 74770355 114667580 119632568 126134338 131867717 149540710 229335160 252268676 263735434 299081420 315335845 504537352 527470868 598162840 630671690 659338585 1054941736 1261343380 1318677170 1450544887 2522686760 2637354340 2901089774 5274708680 5802179548 7252724435 11604359096 14505448870 29010897740 58021795480