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41368601656992 = 2536721293020989
BaseRepresentation
bin10010110011111111000001…
…10011100111111010100000
312102110210120222101201102110
421121333200303213322200
520410240344011010432
6223552250115315320
711466532341143121
oct1131774063477240
9172423528351373
1041368601656992
11121aa364181555
124781618babb40
131a110721bb03c
14a30372a7a048
154bb15b5d8dcc
hex259fe0ce7ea0

41368601656992 has 96 divisors (see below), whose sum is σ = 110265168283200. Its totient is φ = 13577335123968.

The previous prime is 41368601656957. The next prime is 41368601657027. The reversal of 41368601656992 is 29965610686314.

It is an interprime number because it is at equal distance from previous prime (41368601656957) and next prime (41368601657027).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×413686016569922 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12183234 + ... + 15204222.

It is an arithmetic number, because the mean of its divisors is an integer number (1148595502950).

Almost surely, 241368601656992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41368601656992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55132584141600).

41368601656992 is an abundant number, since it is smaller than the sum of its proper divisors (68896566626208).

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

41368601656992 is a wasteful number, since it uses less digits than its factorization.

41368601656992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3023198 (or 3023190 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 66.

The spelling of 41368601656992 in words is "forty-one trillion, three hundred sixty-eight billion, six hundred one million, six hundred fifty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 804 1072 1608 2129 2144 3216 4258 6387 6432 8516 12774 17032 25548 34064 51096 68128 102192 142643 204384 285286 427929 570572 855858 1141144 1711716 2282288 3020989 3423432 4564576 6041978 6846864 9062967 12083956 13693728 18125934 24167912 36251868 48335824 72503736 96671648 145007472 202406263 290014944 404812526 607218789 809625052 1214437578 1619250104 2428875156 3238500208 4857750312 6431685581 6477000416 9715500624 12863371162 19295056743 19431001248 25726742324 38590113486 51453484648 77180226972 102906969296 154360453944 205813938592 308720907888 430922933927 617441815776 861845867854 1292768801781 1723691735708 2585537603562 3447383471416 5171075207124 6894766942832 10342150414248 13789533885664 20684300828496 41368601656992