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1092952435890 = 235731297156509
BaseRepresentation
bin11111110011110010000…
…10101010110010110010
310212111002201211102020210
433321321002222302302
5120401331310422030
62154032335444550
7141651244264260
oct17717102526262
93774081742223
101092952435890
1139157817a847
121579a3686756
137c0ac98a8b3
143ac834c9430
151d66bdddbb0
hexfe790aacb2

1092952435890 has 128 divisors (see below), whose sum is σ = 3095612375040. Its totient is φ = 241673414400.

The previous prime is 1092952435837. The next prime is 1092952435891. The reversal of 1092952435890 is 985342592901.

It is a happy number.

It is a super-3 number, since 3×10929524358903 (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1092952435890.

It is not an unprimeable number, because it can be changed into a prime (1092952435891) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19312956 + ... + 19369464.

It is an arithmetic number, because the mean of its divisors is an integer number (24184471680).

Almost surely, 21092952435890 is an apocalyptic number.

1092952435890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1092952435890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547806187520).

1092952435890 is an abundant number, since it is smaller than the sum of its proper divisors (2002659939150).

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

1092952435890 is a wasteful number, since it uses less digits than its factorization.

1092952435890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59528.

The product of its (nonzero) digits is 6998400, while the sum is 57.

The spelling of 1092952435890 in words is "one trillion, ninety-two billion, nine hundred fifty-two million, four hundred thirty-five thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 62 70 93 105 155 186 210 217 310 434 465 651 930 1085 1302 2170 2971 3255 5942 6510 8913 14855 17826 20797 29710 41594 44565 56509 62391 89130 92101 103985 113018 124782 169527 184202 207970 276303 282545 311955 339054 395563 460505 552606 565090 623910 644707 791126 847635 921010 1186689 1289414 1381515 1695270 1751779 1934121 1977815 2373378 2763030 3223535 3503558 3868242 3955630 5255337 5933445 6447070 8758895 9670605 10510674 11866890 12262453 17517790 19341210 24524906 26276685 36787359 52553370 61312265 73574718 122624530 167888239 183936795 335776478 367873590 503664717 839441195 1007329434 1175217673 1678882390 2350435346 2518323585 3525653019 5036647170 5204535409 5876088365 7051306038 10409070818 11752176730 15613606227 17628265095 26022677045 31227212454 35256530190 36431747863 52045354090 72863495726 78068031135 109295243589 156136062270 182158739315 218590487178 364317478630 546476217945 1092952435890