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40795503552 = 263414295507
BaseRepresentation
bin100101111111100110…
…011111101111000000
310220022002221022020000
4211333212133233000
51132022122103202
630424033120000
72642644026066
oct457746375700
9126262838200
1040795503552
1116334aa86a1
127aa63b9000
133b01b1c91b
141d900c6036
1510db77191c
hex97f99fbc0

40795503552 has 140 divisors (see below), whose sum is σ = 121037253480. Its totient is φ = 13586517504.

The previous prime is 40795503491. The next prime is 40795503557. The reversal of 40795503552 is 25530559704.

40795503552 is a `hidden beast` number, since 4 + 0 + 7 + 95 + 5 + 0 + 3 + 552 = 666.

It is a super-2 number, since 2×407955035522 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40795503498 and 40795503507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40795503557) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7405183 + ... + 7410689.

Almost surely, 240795503552 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 40795503552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60518626740).

40795503552 is an abundant number, since it is smaller than the sum of its proper divisors (80241749928).

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

40795503552 is a wasteful number, since it uses less digits than its factorization.

40795503552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6960 (or 6941 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 45.

The spelling of 40795503552 in words is "forty billion, seven hundred ninety-five million, five hundred three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1429 1728 2592 2858 4287 5184 5507 5716 8574 11014 11432 12861 16521 17148 22028 22864 25722 33042 34296 38583 44056 45728 49563 51444 66084 68592 77166 88112 91456 99126 102888 115749 132168 137184 148689 154332 176224 198252 205776 231498 264336 274368 297378 308664 352448 396504 411552 446067 462996 528672 594756 617328 793008 823104 892134 925992 1057344 1189512 1234656 1586016 1784268 1851984 2379024 2469312 3172032 3568536 3703968 4758048 7137072 7407936 7869503 9516096 14274144 15739006 23608509 28548288 31478012 47217018 62956024 70825527 94434036 125912048 141651054 188868072 212476581 251824096 283302108 377736144 424953162 503648192 566604216 637429743 755472288 849906324 1133208432 1274859486 1510944576 1699812648 2266416864 2549718972 3399625296 4532833728 5099437944 6799250592 10198875888 13598501184 20397751776 40795503552