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61416461603126 = 27217316131939937
BaseRepresentation
bin11011111011011101000100…
…11000001001000100110110
322001110100121210210101200202
431331232202120021010312
531022221403132300001
6334342155530240502
715636123113052500
oct1575564230110466
9261410553711622
1061416461603126
11186296364a6483
126a7ab08886132
132836716a6b716
141124803312d70
157178b2ed996b
hex37dba2609136

61416461603126 has 96 divisors (see below), whose sum is σ = 117320745814272. Its totient is φ = 23934775173120.

The previous prime is 61416461603117. The next prime is 61416461603183. The reversal of 61416461603126 is 62130616461416.

61416461603126 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 30689030 + ... + 32628966.

It is an arithmetic number, because the mean of its divisors is an integer number (1222091102232).

Almost surely, 261416461603126 is an apocalyptic number.

61416461603126 is a deficient number, since it is larger than the sum of its proper divisors (55904284211146).

61416461603126 is a wasteful number, since it uses less digits than its factorization.

61416461603126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940614 (or 1940607 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 47.

The spelling of 61416461603126 in words is "sixty-one trillion, four hundred sixteen billion, four hundred sixty-one million, six hundred three thousand, one hundred twenty-six".

Divisors: 1 2 7 14 17 31 34 49 62 98 119 217 238 434 527 613 833 1054 1226 1519 1666 3038 3689 4291 7378 8582 10421 19003 20842 25823 30037 38006 51646 60074 72947 133021 145894 266042 323051 510629 646102 931147 1021258 1862294 1939937 2261357 3879874 4522714 13579559 15829499 27159118 31658998 32978929 60138047 65957858 95056913 120276094 190113826 230852503 420966329 461705006 841932658 1022346799 1189181381 1615967521 2044693598 2378362762 2946764303 3231935042 5893528606 7156427593 8324269667 14312855186 16648539334 20216083477 36864622811 40432166954 50094993151 58269887669 73729245622 100189986302 116539775338 141512584339 258052359677 283025168678 516104719354 626698587787 990588090373 1253397175574 1806366517739 1981176180746 3612733035478 4386890114509 8773780229018 30708230801563 61416461603126