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11046341466320 = 245373731872117
BaseRepresentation
bin1010000010111110110101…
…0000100101100011010000
31110010000112112022002012212
42200233231100211203100
52421440401403410240
635254341430011252
72220033432145166
oct240575520454320
943100475262185
1011046341466320
1135797aa864506
1212a4a314a6b28
1362188622b244
142a290803b236
15142519c79165
hexa0bed4258d0

11046341466320 has 40 divisors (see below), whose sum is σ = 26376872130024. Its totient is φ = 4299116677632.

The previous prime is 11046341466317. The next prime is 11046341466331. The reversal of 11046341466320 is 2366414364011.

It can be written as a sum of positive squares in 4 ways, for example, as 1427461015696 + 9618880450624 = 1194764^2 + 3101432^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1865933099 + ... + 1865939018.

Almost surely, 211046341466320 is an apocalyptic number.

11046341466320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11046341466320 is an abundant number, since it is smaller than the sum of its proper divisors (15330530663704).

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

11046341466320 is a wasteful number, since it uses less digits than its factorization.

11046341466320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3731872167 (or 3731872161 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 41.

The spelling of 11046341466320 in words is "eleven trillion, forty-six billion, three hundred forty-one million, four hundred sixty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 3731872117 7463744234 14927488468 18659360585 29854976936 37318721170 59709953872 74637442340 138079268329 149274884680 276158536658 298549769360 552317073316 690396341645 1104634146632 1380792683290 2209268293264 2761585366580 5523170733160 11046341466320