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40583782680 = 23357311558517
BaseRepresentation
bin100101110010111110…
…110110000100011000
310212202100112202210020
4211302332312010120
51131103422021210
630351031150440
72634463314060
oct456276660430
9125670482706
1040583782680
111623653a671
127a47515420
133a99cc06bc
141d6dd323a0
1510c7d9e770
hex972fb6118

40583782680 has 128 divisors (see below), whose sum is σ = 143633018880. Its totient is φ = 8977052160.

The previous prime is 40583782669. The next prime is 40583782699. The reversal of 40583782680 is 8628738504.

It is a happy number.

40583782680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 753219 + ... + 805298.

It is an arithmetic number, because the mean of its divisors is an integer number (1122132960).

Almost surely, 240583782680 is an apocalyptic number.

40583782680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40583782680 is an abundant number, since it is smaller than the sum of its proper divisors (103049236200).

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

40583782680 is a wasteful number, since it uses less digits than its factorization.

40583782680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558569 (or 1558565 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 40583782680 in words is "forty billion, five hundred eighty-three million, seven hundred eighty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 31 35 40 42 56 60 62 70 84 93 105 120 124 140 155 168 186 210 217 248 280 310 372 420 434 465 620 651 744 840 868 930 1085 1240 1302 1736 1860 2170 2604 3255 3720 4340 5208 6510 8680 13020 26040 1558517 3117034 4675551 6234068 7792585 9351102 10909619 12468136 15585170 18702204 21819238 23377755 31170340 32728857 37404408 43638476 46755510 48314027 54548095 62340680 65457714 87276952 93511020 96628054 109096190 130915428 144942081 163644285 187022040 193256108 218192380 241570135 261830856 289884162 327288570 338198189 386512216 436384760 483140270 579768324 654577140 676396378 724710405 966280540 1014594567 1159536648 1309154280 1352792756 1449420810 1690990945 1932561080 2029189134 2705585512 2898841620 3381981890 4058378268 5072972835 5797683240 6763963780 8116756536 10145945670 13527927560 20291891340 40583782680