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473681405920 = 2553780013751
BaseRepresentation
bin1101110010010011001…
…11001010011111100000
31200021122200010121101211
412321021213022133200
530230044414442140
61001334540235504
746136160342352
oct6711147123740
91607580117354
10473681405920
111729838941a8
1277976b3bb94
133588b699098
1418cd7ab90d2
15c4c52eb2ea
hex6e499ca7e0

473681405920 has 48 divisors (see below), whose sum is σ = 1149317533728. Its totient is φ = 184351680000.

The previous prime is 473681405851. The next prime is 473681405929. The reversal of 473681405920 is 29504186374.

It is a happy number.

It is a super-2 number, since 2×4736814059202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473681405929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40000956 + ... + 40012795.

It is an arithmetic number, because the mean of its divisors is an integer number (23944115286).

It is a 1-persistent number, because it is pandigital, but 2⋅473681405920 = 947362811840 is not.

Almost surely, 2473681405920 is an apocalyptic number.

473681405920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

473681405920 is an abundant number, since it is smaller than the sum of its proper divisors (675636127808).

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

473681405920 is a wasteful number, since it uses less digits than its factorization.

473681405920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80013803 (or 80013795 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 473681405920 in words is "four hundred seventy-three billion, six hundred eighty-one million, four hundred five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1480 2960 5920 80013751 160027502 320055004 400068755 640110008 800137510 1280220016 1600275020 2560440032 2960508787 3200550040 5921017574 6401100080 11842035148 12802200160 14802543935 23684070296 29605087870 47368140592 59210175740 94736281184 118420351480 236840702960 473681405920