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1025426455020 = 2232511737094413
BaseRepresentation
bin11101110110000000010…
…11011111100111101100
310122000210201210011121100
432323000023133213230
5113300033133030040
62103024023403100
7134041011024342
oct16730013374754
93560721704540
101025426455020
11365976556990
121468992b3490
137590ac76bb6
14378b92bd992
151ba18ac5b30
hexeec02df9ec

1025426455020 has 144 divisors (see below), whose sum is σ = 3439712439072. Its totient is φ = 245182878720.

The previous prime is 1025426454979. The next prime is 1025426455073. The reversal of 1025426455020 is 205546245201.

1025426455020 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 4 + 2 + 645 + 5 + 0 + 2 + 0 = 666.

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

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, 3402667 + ... + 3691746.

It is an arithmetic number, because the mean of its divisors is an integer number (23886891938).

Almost surely, 21025426455020 is an apocalyptic number.

1025426455020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1025426455020 is an abundant number, since it is smaller than the sum of its proper divisors (2414285984052).

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

1025426455020 is a wasteful number, since it uses less digits than its factorization.

1025426455020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7094512 (or 7094507 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 1025426455020 in words is "one trillion, twenty-five billion, four hundred twenty-six million, four hundred fifty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 73 90 99 110 132 146 165 180 198 219 220 292 330 365 396 438 495 657 660 730 803 876 990 1095 1314 1460 1606 1980 2190 2409 2628 3212 3285 4015 4380 4818 6570 7227 8030 9636 12045 13140 14454 16060 24090 28908 36135 48180 72270 144540 7094413 14188826 21283239 28377652 35472065 42566478 63849717 70944130 78038543 85132956 106416195 127699434 141888260 156077086 212832390 234115629 255398868 312154172 319248585 390192715 425664780 468231258 517892149 638497170 702346887 780385430 936462516 1035784298 1170578145 1276994340 1404693774 1553676447 1560770860 2071568596 2341156290 2589460745 2809387548 3107352894 3511734435 4661029341 4682312580 5178921490 5696813639 6214705788 7023468870 7768382235 9322058682 10357842980 11393627278 14046937740 15536764470 17090440917 18644117364 22787254556 23305146705 28484068195 31073528940 34180881834 46610293410 51271322751 56968136390 68361763668 85452204585 93220586820 102542645502 113936272780 170904409170 205085291004 256356613755 341808818340 512713227510 1025426455020