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41054073264 = 2433317143177
BaseRepresentation
bin100110001111000000…
…110111000110110000
310220222010111000012000
4212033000313012300
51133034320321024
630505431134000
72652233602461
oct461700670660
9126863430160
1041054073264
1116457a54976
127b58b14300
133b43572b59
141db6592d68
1511042e9cc9
hex98f0371b0

41054073264 has 160 divisors (see below), whose sum is σ = 123357818880. Its totient is φ = 13056422400.

The previous prime is 41054073259. The next prime is 41054073289. The reversal of 41054073264 is 46237045014.

41054073264 is a `hidden beast` number, since 41 + 0 + 540 + 73 + 2 + 6 + 4 = 666.

It is a super-2 number, since 2×410540732642 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 929244 + ... + 972420.

It is an arithmetic number, because the mean of its divisors is an integer number (770986368).

Almost surely, 241054073264 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 41054073264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61678909440).

41054073264 is an abundant number, since it is smaller than the sum of its proper divisors (82303745616).

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

41054073264 is a wasteful number, since it uses less digits than its factorization.

41054073264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43296 (or 43284 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 41054073264 in words is "forty-one billion, fifty-four million, seventy-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 71 72 93 108 124 142 144 186 213 216 248 279 284 372 426 432 496 558 568 639 744 837 852 1116 1136 1278 1488 1674 1704 1917 2201 2232 2556 3348 3408 3834 4402 4464 5112 6603 6696 7668 8804 10224 13206 13392 15336 17608 19809 26412 30672 35216 39618 43177 52824 59427 79236 86354 105648 118854 129531 158472 172708 237708 259062 316944 345416 388593 475416 518124 690832 777186 950832 1036248 1165779 1338487 1554372 2072496 2331558 2676974 3065567 3108744 4015461 4663116 5353948 6131134 6217488 8030922 9196701 9326232 10707896 12046383 12262268 16061844 18393402 18652464 21415792 24092766 24524536 27590103 32123688 36139149 36786804 48185532 49049072 55180206 64247376 72278298 73573608 82770309 95032577 96371064 110360412 144556596 147147216 165540618 190065154 192742128 220720824 285097731 289113192 331081236 380130308 441441648 570195462 578226384 662162472 760260616 855293193 1140390924 1324324944 1520521232 1710586386 2280781848 2565879579 3421172772 4561563696 5131759158 6842345544 10263518316 13684691088 20527036632 41054073264