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406055568320 = 2653140933021
BaseRepresentation
bin1011110100010101100…
…11000100001111000000
31102211002201012010001222
411322022303010033000
523123100211141240
6510312300014212
741223302245103
oct5721263041700
91384081163058
10406055568320
11147230867516
1266843231368
132c3a2091b6c
141592051873a
15a86835aeb5
hex5e8acc43c0

406055568320 has 56 divisors (see below), whose sum is σ = 998110808448. Its totient is φ = 157182796800.

The previous prime is 406055568283. The next prime is 406055568341. The reversal of 406055568320 is 23865550604.

It is a super-2 number, since 2×4060555683202 (a number of 24 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 20456591 + ... + 20476430.

Almost surely, 2406055568320 is an apocalyptic number.

406055568320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406055568320 is an abundant number, since it is smaller than the sum of its proper divisors (592055240128).

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

406055568320 is a wasteful number, since it uses less digits than its factorization.

406055568320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40933069 (or 40933059 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 44.

The spelling of 406055568320 in words is "four hundred six billion, fifty-five million, five hundred sixty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 992 1240 1984 2480 4960 9920 40933021 81866042 163732084 204665105 327464168 409330210 654928336 818660420 1268923651 1309856672 1637320840 2537847302 2619713344 3274641680 5075694604 6344618255 6549283360 10151389208 12689236510 13098566720 20302778416 25378473020 40605556832 50756946040 81211113664 101513892080 203027784160 406055568320