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542224641204 = 22325910115671613
BaseRepresentation
bin1111110001111110001…
…10110110110010110100
31220211120120022201202200
413320333012312302310
532340434002004304
61053032231504500
754113555255511
oct7707706666264
91824516281680
10542224641204
11199a57746394
1289105b28130
133c19307b77c
141c35b044308
15e187aa2e39
hex7e3f1b6cb4

542224641204 has 144 divisors (see below), whose sum is σ = 1409426403840. Its totient is φ = 175697683200.

The previous prime is 542224641199. The next prime is 542224641241. The reversal of 542224641204 is 402146422245.

542224641204 is a `hidden beast` number, since 5 + 4 + 2 + 2 + 2 + 4 + 641 + 2 + 0 + 4 = 666.

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

It is a congruent number.

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, 336158302 + ... + 336159914.

It is an arithmetic number, because the mean of its divisors is an integer number (9787683360).

Almost surely, 2542224641204 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 542224641204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704713201920).

542224641204 is an abundant number, since it is smaller than the sum of its proper divisors (867201762636).

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

542224641204 is a wasteful number, since it uses less digits than its factorization.

542224641204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3350 (or 3345 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The spelling of 542224641204 in words is "five hundred forty-two billion, two hundred twenty-four million, six hundred forty-one thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 59 101 118 177 202 236 303 354 404 531 606 708 909 1062 1212 1567 1613 1818 2124 3134 3226 3636 4701 4839 5959 6268 6452 9402 9678 11918 14103 14517 17877 18804 19356 23836 28206 29034 35754 53631 56412 58068 71508 92453 95167 107262 158267 162913 184906 190334 214524 277359 285501 316534 325826 369812 380668 474801 488739 554718 571002 633068 651652 832077 856503 949602 977478 1109436 1142004 1424403 1466217 1664154 1713006 1899204 1954956 2527571 2848806 2932434 3328308 3426012 5055142 5697612 5864868 7582713 9337753 9611867 10110284 15165426 18675506 19223734 22748139 28013259 28835601 30330852 37351012 38447468 45496278 56026518 57671202 84039777 86506803 90992556 112053036 115342404 149126689 168079554 173013606 255284671 298253378 336159108 346027212 447380067 510569342 596506756 765854013 894760134 1021138684 1342140201 1531708026 1789520268 2297562039 2684280402 3063416052 4595124078 5368560804 9190248156 15061795589 30123591178 45185386767 60247182356 90370773534 135556160301 180741547068 271112320602 542224641204