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41116774720 = 265737349211
BaseRepresentation
bin100110010010110000…
…000011000101000000
310221010111110120102011
4212102300003011000
51133201343242340
630515551102304
72653624550530
oct462260030500
9127114416364
1041116774720
111648a39045a
127b75b11994
133b535575c8
141dc0a354c0
151109a830ea
hex992c03140

41116774720 has 112 divisors (see below), whose sum is σ = 112198635648. Its totient is φ = 14059100160.

The previous prime is 41116774703. The next prime is 41116774729. The reversal of 41116774720 is 2747761114.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41116774729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 810915 + ... + 860125.

Almost surely, 241116774720 is an apocalyptic number.

41116774720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41116774720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56099317824).

41116774720 is an abundant number, since it is smaller than the sum of its proper divisors (71081860928).

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

41116774720 is a wasteful number, since it uses less digits than its factorization.

41116774720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49608 (or 49598 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 40.

The spelling of 41116774720 in words is "forty-one billion, one hundred sixteen million, seven hundred seventy-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 373 448 560 746 1120 1492 1865 2240 2611 2984 3730 5222 5968 7460 10444 11936 13055 14920 20888 23872 26110 29840 41776 49211 52220 59680 83552 98422 104440 119360 167104 196844 208880 246055 344477 393688 417760 492110 688954 787376 835520 984220 1377908 1574752 1722385 1968440 2755816 3149504 3444770 3936880 5511632 6889540 7873760 11023264 13779080 15747520 18355703 22046528 27558160 36711406 55116320 73422812 91778515 110232640 128489921 146845624 183557030 256979842 293691248 367114060 513959684 587382496 642449605 734228120 1027919368 1174764992 1284899210 1468456240 2055838736 2569798420 2936912480 4111677472 5139596840 5873824960 8223354944 10279193680 20558387360 41116774720