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41928916416 = 2631729442961
BaseRepresentation
bin100111000011001010…
…000111110111000000
311000020002122122101020
4213003022013313000
51141332300311131
631132322105440
73013015623552
oct470312076700
9130202578336
1041928916416
1116866864542
128161aab280
133c5289bb1a
14205a8414d2
151156007996
hex9c3287dc0

41928916416 has 112 divisors (see below), whose sum is σ = 121513335840. Its totient is φ = 12700549120.

The previous prime is 41928916411. The next prime is 41928916417. The reversal of 41928916416 is 61461982914.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41928916411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126825 + ... + 316136.

Almost surely, 241928916416 is an apocalyptic number.

It is an amenable number.

41928916416 is an abundant number, since it is smaller than the sum of its proper divisors (79584419424).

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

41928916416 is a wasteful number, since it uses less digits than its factorization.

41928916416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443022 (or 443012 counting only the distinct ones).

The product of its digits is 746496, while the sum is 51.

The spelling of 41928916416 in words is "forty-one billion, nine hundred twenty-eight million, nine hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 32 34 48 51 58 64 68 87 96 102 116 136 174 192 204 232 272 348 408 464 493 544 696 816 928 986 1088 1392 1479 1632 1856 1972 2784 2958 3264 3944 5568 5916 7888 11832 15776 23664 31552 47328 94656 442961 885922 1328883 1771844 2657766 3543688 5315532 7087376 7530337 10631064 12845869 14174752 15060674 21262128 22591011 25691738 28349504 30121348 38537607 42524256 45182022 51383476 60242696 77075214 85048512 90364044 102766952 120485392 154150428 180728088 205533904 218379773 240970784 308300856 361456176 411067808 436759546 481941568 616601712 655139319 722912352 822135616 873519092 1233203424 1310278638 1445824704 1747038184 2466406848 2620557276 3494076368 5241114552 6988152736 10482229104 13976305472 20964458208 41928916416