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49111166980096 = 21213284232
BaseRepresentation
bin10110010101010100101011…
…01010011001000000000000
320102212222111200000112202221
423022222111222121000000
522414114132221330341
6252241205245020424
713226110333413634
oct1312522552310000
9212788450015687
1049111166980096
1114714a24486771
1256120a6554714
132153217657100
14c1adc935adc4
155a2762ba7ed1
hex2caa95a99000

49111166980096 has 117 divisors (see below), whose sum is σ = 106358739245409. Its totient is φ = 22664001404928.

The previous prime is 49111166980027. The next prime is 49111166980123. The reversal of 49111166980096 is 69008966111194.

The square root of 49111166980096 is 7007936.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7264965529600 + 41846201450496 = 2695360^2 + 6468864^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5830598541 + ... + 5830606963.

Almost surely, 249111166980096 is an apocalyptic number.

49111166980096 is the 7007936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49111166980096

49111166980096 is an abundant number, since it is smaller than the sum of its proper divisors (57247572265313).

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

49111166980096 is an frugal number, since it uses more digits than its factorization.

49111166980096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16896 (or 8438 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 61.

The spelling of 49111166980096 in words is "forty-nine trillion, one hundred eleven billion, one hundred sixty-six million, nine hundred eighty thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 512 676 832 1024 1352 1664 2048 2704 3328 4096 5408 6656 8423 10816 13312 16846 21632 26624 33692 43264 53248 67384 86528 109499 134768 173056 218998 269536 346112 437996 539072 692224 875992 1078144 1423487 1751984 2156288 2846974 3503968 4312576 5693948 7007936 8625152 11387896 14015872 17250304 22775792 28031744 34500608 45551584 56063488 70946929 91103168 112126976 141893858 182206336 224253952 283787716 364412672 448507904 567575432 728825344 922310077 1135150864 1457650688 1844620154 2270301728 2915301376 3689240308 4540603456 5830602752 7378480616 9081206912 11990031001 14756961232 18162413824 23980062002 29513922464 36324827648 47960124004 59027844928 72649655296 95920248008 118055689856 145299310592 191840496016 236111379712 290598621184 383680992032 472222759424 767361984064 944445518848 1534723968128 1888891037696 3069447936256 3777782075392 6138895872512 12277791745024 24555583490048 49111166980096