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538601884020 = 2232519187783903
BaseRepresentation
bin1111101011001110010…
…11001000100101110100
31220111020002110121011200
413311213023020211310
532311024040242040
61051232535332500
753625025322304
oct7654713104564
91814202417150
10538601884020
111984687a4292
1288474821130
133ba36661275
141c0d5c4d604
15e0249e8630
hex7d672c8974

538601884020 has 144 divisors (see below), whose sum is σ = 1720683095040. Its totient is φ = 135993731328.

The previous prime is 538601883973. The next prime is 538601884061. The reversal of 538601884020 is 20488106835.

538601884020 is a `hidden beast` number, since 5 + 3 + 8 + 60 + 188 + 402 + 0 = 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6377389 + ... + 6461291.

It is an arithmetic number, because the mean of its divisors is an integer number (11949188160).

Almost surely, 2538601884020 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 538601884020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860341547520).

538601884020 is an abundant number, since it is smaller than the sum of its proper divisors (1182081211020).

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

538601884020 is a wasteful number, since it uses less digits than its factorization.

538601884020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85814 (or 85809 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 538601884020 in words is "five hundred thirty-eight billion, six hundred one million, eight hundred eighty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 1877 3420 3754 5631 7508 9385 11262 16893 18770 22524 28155 33786 35663 37540 56310 67572 71326 83903 84465 106989 112620 142652 167806 168930 178315 213978 251709 320967 335612 337860 356630 419515 427956 503418 534945 641934 713260 755127 839030 1006836 1069890 1258545 1283868 1510254 1594157 1604835 1678060 2139780 2517090 3020508 3188314 3209670 3775635 4782471 5034180 6376628 6419340 7551270 7970785 9564942 14347413 15102540 15941570 19129884 23912355 28694826 31883140 47824710 57389652 71737065 95649420 143474130 157485931 286948260 314971862 472457793 629943724 787429655 944915586 1417373379 1574859310 1889831172 2362288965 2834746758 2992232689 3149718620 4724577930 5669493516 5984465378 7086866895 8976698067 9449155860 11968930756 14173733790 14961163445 17953396134 26930094201 28347467580 29922326890 35906792268 44883490335 53860188402 59844653780 89766980670 107720376804 134650471005 179533961340 269300942010 538601884020