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40736020248 = 233272111049681
BaseRepresentation
bin100101111100000011…
…100101011100011000
310220010222000020110200
4211330003211130120
51131411410121443
630414110142200
72641322313300
oct457403453430
9126128006420
1040736020248
111630446aa40
127a8a4b1960
133ac26c3bc1
141d86240600
1510d6421dd3
hex97c0e5718

40736020248 has 144 divisors (see below), whose sum is σ = 140006585160. Its totient is φ = 10580774400.

The previous prime is 40736020231. The next prime is 40736020249. The reversal of 40736020248 is 84202063704.

40736020248 is a `hidden beast` number, since 4 + 0 + 7 + 3 + 602 + 0 + 2 + 48 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40736020249) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 486033 + ... + 563648.

Almost surely, 240736020248 is an apocalyptic number.

It is an amenable number.

40736020248 is an abundant number, since it is smaller than the sum of its proper divisors (99270564912).

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

40736020248 is a wasteful number, since it uses less digits than its factorization.

40736020248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049718 (or 1049704 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 40736020248 in words is "forty billion, seven hundred thirty-six million, twenty thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 49 56 63 66 72 77 84 88 98 99 126 132 147 154 168 196 198 231 252 264 294 308 392 396 441 462 504 539 588 616 693 792 882 924 1078 1176 1386 1617 1764 1848 2156 2772 3234 3528 4312 4851 5544 6468 9702 12936 19404 38808 1049681 2099362 3149043 4198724 6298086 7347767 8397448 9447129 11546491 12596172 14695534 18894258 22043301 23092982 25192344 29391068 34639473 37788516 44086602 46185964 51434369 58782136 66129903 69278946 75577032 80825437 88173204 92371928 102868738 103918419 132259806 138557892 154303107 161650874 176346408 205737476 207836838 242476311 264519612 277115784 308606214 323301748 411474952 415673676 462909321 484952622 529039224 565778059 617212428 646603496 727428933 831347352 925818642 969905244 1131556118 1234424856 1454857866 1697334177 1851637284 1939810488 2263112236 2909715732 3394668354 3703274568 4526224472 5092002531 5819431464 6789336708 10184005062 13578673416 20368010124 40736020248