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2063127229920 = 253251975406697
BaseRepresentation
bin11110000001011011111…
…101110011010111100000
321022020021212212101200200
4132001123331303113200
5232300241032324140
64215442040345200
7302025134051121
oct36013375632740
97266255771620
102063127229920
11725a70598a89
12293a21175200
1311c723b61763
1471bda7c8048
1538a00057030
hex1e05bf735e0

2063127229920 has 144 divisors (see below), whose sum is σ = 7410970279440. Its totient is φ = 521211082752.

The previous prime is 2063127229841. The next prime is 2063127229949. The reversal of 2063127229920 is 299227213602.

2063127229920 is a `hidden beast` number, since 2 + 0 + 631 + 2 + 7 + 2 + 2 + 9 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37675989 + ... + 37730708.

It is an arithmetic number, because the mean of its divisors is an integer number (51465071385).

Almost surely, 22063127229920 is an apocalyptic number.

2063127229920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2063127229920 is an abundant number, since it is smaller than the sum of its proper divisors (5347843049520).

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

2063127229920 is a wasteful number, since it uses less digits than its factorization.

2063127229920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75406737 (or 75406726 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 2063127229920 in words is "two trillion, sixty-three billion, one hundred twenty-seven million, two hundred twenty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 228 240 285 288 304 342 360 380 456 480 570 608 684 720 760 855 912 1140 1368 1440 1520 1710 1824 2280 2736 3040 3420 4560 5472 6840 9120 13680 27360 75406697 150813394 226220091 301626788 377033485 452440182 603253576 678660273 754066970 904880364 1131100455 1206507152 1357320546 1432727243 1508133940 1809760728 2262200910 2413014304 2714641092 2865454486 3016267880 3393301365 3619521456 4298181729 4524401820 5429282184 5730908972 6032535760 6786602730 7163636215 7239042912 8596363458 9048803640 10858564368 11461817944 12065071520 12894545187 13573205460 14327272430 17192726916 18097607280 21490908645 21717128736 22923635888 25789090374 27146410920 28654544860 34385453832 36195214560 42981817290 45847271776 51578180748 54292821840 57309089720 64472725935 68770907664 85963634580 103156361496 108585643680 114618179440 128945451870 137541815328 171927269160 206312722992 229236358880 257890903740 343854538320 412625445984 515781807480 687709076640 1031563614960 2063127229920