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40468891800 = 23352632910657
BaseRepresentation
bin100101101100001000…
…100100100010011000
310212110100100201010110
4211230020210202120
51130340014014200
630331404444320
72631566622201
oct455410444230
9125410321113
1040468891800
11161876a8427
127a14b496a0
133a7c26512c
141d5c9865a8
1510bcc57b50
hex96c224898

40468891800 has 96 divisors (see below), whose sum is σ = 125485160400. Its totient is φ = 10788986880.

The previous prime is 40468891789. The next prime is 40468891807. The reversal of 40468891800 is 819886404.

It is a self number, because there is not a number n which added to its sum of digits gives 40468891800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40468891807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3792072 + ... + 3802728.

Almost surely, 240468891800 is an apocalyptic number.

40468891800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40468891800 is an abundant number, since it is smaller than the sum of its proper divisors (85016268600).

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

40468891800 is a wasteful number, since it uses less digits than its factorization.

40468891800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17005 (or 16996 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 40468891800 in words is "forty billion, four hundred sixty-eight million, eight hundred ninety-one thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 6329 10657 12658 18987 21314 25316 31645 31971 37974 42628 50632 53285 63290 63942 75948 85256 94935 106570 126580 127884 151896 158225 159855 189870 213140 253160 255768 266425 316450 319710 379740 426280 474675 532850 632900 639420 759480 799275 949350 1065700 1265800 1278840 1598550 1898700 2131400 3197100 3797400 6394200 67448153 134896306 202344459 269792612 337240765 404688918 539585224 674481530 809377836 1011722295 1348963060 1618755672 1686203825 2023444590 2697926120 3372407650 4046889180 5058611475 6744815300 8093778360 10117222950 13489630600 20234445900 40468891800