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2025051510042 = 2321136756349499
BaseRepresentation
bin11101011101111110011…
…110011101010100011010
321011121000022200102021100
4131131332132131110122
5231134301141310132
64150143521452230
7266206443553341
oct35357636352432
97147008612240
102025051510042
1171090186a0a0
122885757a1076
13118c666643b2
1470027a04b58
1537a2247737c
hex1d77e79d51a

2025051510042 has 96 divisors (see below), whose sum is σ = 4808149632000. Its totient is φ = 610880556960.

The previous prime is 2025051510019. The next prime is 2025051510061. The reversal of 2025051510042 is 2400151505202.

2025051510042 is a `hidden beast` number, since 2 + 0 + 2 + 5 + 0 + 515 + 100 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2025051509988 and 2025051510015.

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, 40886209 + ... + 40935707.

It is an arithmetic number, because the mean of its divisors is an integer number (50084892000).

Almost surely, 22025051510042 is an apocalyptic number.

2025051510042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2025051510042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2404074816000).

2025051510042 is an abundant number, since it is smaller than the sum of its proper divisors (2783098121958).

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

2025051510042 is a wasteful number, since it uses less digits than its factorization.

2025051510042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50448 (or 50445 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 2025051510042 in words is "two trillion, twenty-five billion, fifty-one million, five hundred ten thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 367 563 734 1101 1126 1689 2202 3303 3378 4037 5067 6193 6606 8074 10134 12111 12386 18579 24222 36333 37158 49499 55737 72666 98998 111474 148497 206621 296994 413242 445491 544489 619863 890982 1088978 1239726 1633467 1859589 2272831 3266934 3719178 4545662 4900401 6818493 9800802 13636986 18166133 20455479 27867937 36332266 40910958 54498399 55735874 83603811 108996798 163495197 167207622 199827463 250811433 306547307 326990394 399654926 501622866 599482389 613094614 919641921 1198964778 1798447167 1839283842 2758925763 3596894334 5517851526 10227532879 20455065758 30682598637 61365197274 92047795911 112502861669 184095591822 225005723338 337508585007 675017170014 1012525755021 2025051510042