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74401993152 = 263343056709
BaseRepresentation
bin100010101001010110…
…1000101000111000000
321010001012110212021000
41011102231011013000
52204333402240102
654102500532000
75242515335634
oct1052255050700
9233035425230
1074401993152
112960aa92743
12125050b1000
137029427926
14385b4ccdc4
151e06ce001c
hex1152b451c0

74401993152 has 56 divisors (see below), whose sum is σ = 218728086800. Its totient is φ = 24800663808.

The previous prime is 74401993117. The next prime is 74401993181. The reversal of 74401993152 is 25139910447.

74401993152 is a `hidden beast` number, since 7 + 4 + 401 + 9 + 93 + 152 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 74401993098 and 74401993107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21526627 + ... + 21530082.

Almost surely, 274401993152 is an apocalyptic number.

74401993152 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

74401993152 is an abundant number, since it is smaller than the sum of its proper divisors (144326093648).

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

74401993152 is a wasteful number, since it uses less digits than its factorization.

74401993152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43056730 (or 43056714 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 74401993152 in words is "seventy-four billion, four hundred one million, nine hundred ninety-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 43056709 86113418 129170127 172226836 258340254 344453672 387510381 516680508 688907344 775020762 1033361016 1162531143 1377814688 1550041524 2066722032 2325062286 2755629376 3100083048 4133444064 4650124572 6200166096 8266888128 9300249144 12400332192 18600498288 24800664384 37200996576 74401993152