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472426453470664 = 237113676577317731
BaseRepresentation
bin110101101101010110101101…
…0111100010000110111001000
32021221201112020211011122122001
41223122231122330100313020
5443410213334042030124
64352433414441240344
7201336453631532560
oct15332553274206710
92257645224148561
10472426453470664
11127590a2a940a50
1244b9b4b34930b4
131737b814811174
1484937c3139da0
153993d69ac5b44
hex1adab5af10dc8

472426453470664 has 128 divisors (see below), whose sum is σ = 1107554577592320. Its totient is φ = 183532235443200.

The previous prime is 472426453470649. The next prime is 472426453470677. The reversal of 472426453470664 is 466074354624274.

It is a super-2 number, since 2×4724264534706642 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 472426453470596 and 472426453470605.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1486716679 + ... + 1487034409.

It is an arithmetic number, because the mean of its divisors is an integer number (8652770137440).

Almost surely, 2472426453470664 is an apocalyptic number.

472426453470664 is a gapful number since it is divisible by the number (44) 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 472426453470664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553777288796160).

472426453470664 is an abundant number, since it is smaller than the sum of its proper divisors (635128124121656).

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

472426453470664 is a wasteful number, since it uses less digits than its factorization.

472426453470664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324699 (or 324695 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 64.

The spelling of 472426453470664 in words is "four hundred seventy-two trillion, four hundred twenty-six billion, four hundred fifty-three million, four hundred seventy thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 367 616 734 1468 2569 2936 4037 5138 6577 8074 10276 13154 16148 20552 26308 28259 32296 46039 52616 56518 72347 92078 113036 144694 184156 226072 289388 317731 368312 506429 578776 635462 1012858 1270924 2025716 2224117 2413759 2541848 3495041 4051432 4448234 4827518 6990082 8896468 9655036 13980164 16896313 17792936 19310072 24465287 26551349 27960328 33792626 48930574 53102698 67585252 97861148 106205396 116607277 135170504 185859443 195722296 212410792 233214554 371718886 466429108 743437772 816250939 932858216 1282680047 1486875544 1632501878 2089716787 2565360094 3265003756 4179433574 5130720188 6530007512 8358867148 8978760329 10261440376 14628017509 16717734296 17957520658 22986884657 29256035018 35915041316 45973769314 58512070036 71830082632 91947538628 117024140072 160908192599 183895077256 321816385198 643632770396 766926060829 1287265540792 1533852121658 3067704243316 5368482425803 6135408486632 8436186669119 10736964851606 16872373338238 21473929703212 33744746676476 42947859406424 59053306683833 67489493352952 118106613367666 236213226735332 472426453470664