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136400216976 = 2434102592
BaseRepresentation
bin111111100001000010…
…1100010001110010000
3111001001222001221210000
41333002011202032100
54213321423420401
6142354510010000
712566060500032
oct1770205421620
9431058057700
10136400216976
1152935403951
12225281a6900
13cb29b5987a
14685d4d7c52
153834ba4186
hex1fc2162390

136400216976 has 75 divisors (see below), whose sum is σ = 394820286091. Its totient is φ = 45462307104.

The previous prime is 136400216963. The next prime is 136400216989. The reversal of 136400216976 is 679612004631.

The square root of 136400216976 is 369324.

It is a perfect power (a square), and thus also a powerful number.

136400216976 is a `hidden beast` number, since 1 + 364 + 0 + 0 + 216 + 9 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (136400216963) and next prime (136400216989).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 13290535 + ... + 13300793.

Almost surely, 2136400216976 is an apocalyptic number.

136400216976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

136400216976 is the 369324-th square number.

It is an amenable number.

136400216976 is an abundant number, since it is smaller than the sum of its proper divisors (258420069115).

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

136400216976 is an frugal number, since it uses more digits than its factorization.

136400216976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20538 (or 10264 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 136400216976 in words is "one hundred thirty-six billion, four hundred million, two hundred sixteen thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 10259 20518 30777 41036 61554 82072 92331 123108 164144 184662 246216 276993 369324 492432 553986 738648 830979 1107972 1477296 1661958 2215944 3323916 4431888 6647832 13295664 105247081 210494162 315741243 420988324 631482486 841976648 947223729 1262964972 1683953296 1894447458 2525929944 2841671187 3788894916 5051859888 5683342374 7577789832 8525013561 11366684748 15155579664 17050027122 22733369496 34100054244 45466738992 68200108488 136400216976