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474939795168 = 2533661831617
BaseRepresentation
bin1101110100101001001…
…11100010011011100000
31200101220101000101221000
412322110213202123200
530240134041421133
61002103452032000
746212310435566
oct6722447423340
91611811011830
10474939795168
1117346a150713
1278068462600
1335a2c2c52c7
1418db6c87a36
15c54aa1c413
hex6e949e26e0

474939795168 has 96 divisors (see below), whose sum is σ = 1387338412320. Its totient is φ = 158073569280.

The previous prime is 474939795157. The next prime is 474939795191. The reversal of 474939795168 is 861597939474.

474939795168 is a `hidden beast` number, since 4 + 7 + 4 + 9 + 39 + 79 + 516 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4749397951682 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 474939795096 and 474939795105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155296 + ... + 986912.

It is an arithmetic number, because the mean of its divisors is an integer number (14451441795).

Almost surely, 2474939795168 is an apocalyptic number.

474939795168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 474939795168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693669206160).

474939795168 is an abundant number, since it is smaller than the sum of its proper divisors (912398617152).

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

474939795168 is a wasteful number, since it uses less digits than its factorization.

474939795168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832297 (or 832283 counting only the distinct ones).

The product of its digits is 411505920, while the sum is 72.

The spelling of 474939795168 in words is "four hundred seventy-four billion, nine hundred thirty-nine million, seven hundred ninety-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 661 864 1322 1983 2644 3966 5288 5949 7932 10576 11898 15864 17847 21152 23796 31728 35694 47592 63456 71388 95184 142776 190368 285552 571104 831617 1663234 2494851 3326468 4989702 6652936 7484553 9979404 13305872 14969106 19958808 22453659 26611744 29938212 39917616 44907318 59876424 79835232 89814636 119752848 179629272 239505696 359258544 549698837 718517088 1099397674 1649096511 2198795348 3298193022 4397590696 4947289533 6596386044 8795181392 9894579066 13192772088 14841868599 17590362784 19789158132 26385544176 29683737198 39578316264 52771088352 59367474396 79156632528 118734948792 158313265056 237469897584 474939795168