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385476472056 = 233139726634783
BaseRepresentation
bin1011001110000000011…
…00000010110011111000
31100211222111222201002110
411213000030002303320
522303423434101211
6453030242332320
736564315643644
oct5470014026370
91324874881073
10385476472056
11139530467945
126285b35a0a0
132a47272a220
141492b36bc24
15a061850ea6
hex59c0302cf8

385476472056 has 128 divisors (see below), whose sum is σ = 1049133496320. Its totient is φ = 117316767744.

The previous prime is 385476472039. The next prime is 385476472079. The reversal of 385476472056 is 650274674583.

It is a happy number.

It is a super-2 number, since 2×3854764720562 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 385476471987 and 385476472005.

It is a congruent number.

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, 80590641 + ... + 80595423.

It is an arithmetic number, because the mean of its divisors is an integer number (8196355440).

Almost surely, 2385476472056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385476472056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524566748160).

385476472056 is an abundant number, since it is smaller than the sum of its proper divisors (663657024264).

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

385476472056 is a wasteful number, since it uses less digits than its factorization.

385476472056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7565 (or 7561 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 57.

The spelling of 385476472056 in words is "three hundred eighty-five billion, four hundred seventy-six million, four hundred seventy-two thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 97 104 156 194 291 312 388 582 776 1164 1261 2328 2522 2663 3783 4783 5044 5326 7566 7989 9566 10088 10652 14349 15132 15978 19132 21304 28698 30264 31956 34619 38264 57396 62179 63912 69238 103857 114792 124358 138476 186537 207714 248716 258311 276952 373074 415428 463951 497432 516622 746148 774933 830856 927902 1033244 1391853 1492296 1549866 1855804 2066488 2783706 3099732 3358043 3711608 5567412 6031363 6199464 6716086 10074129 11134824 12062726 12737129 13432172 18094089 20148258 24125452 25474258 26864344 36188178 38211387 40296516 48250904 50948516 72376356 76422774 80593032 101897032 144752712 152845548 165582677 305691096 331165354 496748031 662330708 993496062 1235501513 1324661416 1986992124 2471003026 3706504539 3973984248 4942006052 7413009078 9884012104 14826018156 16061519669 29652036312 32123039338 48184559007 64246078676 96369118014 128492157352 192738236028 385476472056