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40507640600 = 23527127227827
BaseRepresentation
bin100101101110011100…
…011000101100011000
310212120001021100111012
4211232130120230120
51130424423444400
630335311153052
72632550156360
oct455634305430
9125501240435
1040507640600
11161a7563a29
127a25b15788
133a872b130b
141d63b919a0
1510c135dd35
hex96e718b18

40507640600 has 96 divisors (see below), whose sum is σ = 108482580480. Its totient is φ = 13778916480.

The previous prime is 40507640599. The next prime is 40507640611. The reversal of 40507640600 is 604670504.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 63887 + ... + 291713.

It is an arithmetic number, because the mean of its divisors is an integer number (1130026880).

Almost surely, 240507640600 is an apocalyptic number.

40507640600 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 40507640600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54241290240).

40507640600 is an abundant number, since it is smaller than the sum of its proper divisors (67974939880).

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

40507640600 is a wasteful number, since it uses less digits than its factorization.

40507640600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227977 (or 227968 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The spelling of 40507640600 in words is "forty billion, five hundred seven million, six hundred forty thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 127 140 175 200 254 280 350 508 635 700 889 1016 1270 1400 1778 2540 3175 3556 4445 5080 6350 7112 8890 12700 17780 22225 25400 35560 44450 88900 177800 227827 455654 911308 1139135 1594789 1822616 2278270 3189578 4556540 5695675 6379156 7973945 9113080 11391350 12758312 15947890 22782700 28934029 31895780 39869725 45565400 57868058 63791560 79739450 115736116 144670145 159478900 202538203 231472232 289340290 318957800 405076406 578680580 723350725 810152812 1012691015 1157361160 1446701450 1620305624 2025382030 2893402900 4050764060 5063455075 5786805800 8101528120 10126910150 20253820300 40507640600