Search a number
-
+
475014600216 = 2332133971278323
BaseRepresentation
bin1101110100110010001…
…00111001011000011000
31200102002120202220011100
412322121010321120120
530240312214201331
61002115123231400
746214206324242
oct6723104713030
91612076686140
10475014600216
111734a83a3872
1278089518560
1335a41956c50
1418dc2b9b092
15c552396ae6
hex6e99139618

475014600216 has 96 divisors (see below), whose sum is σ = 1388950158960. Its totient is φ = 145790067456.

The previous prime is 475014600191. The next prime is 475014600217. The reversal of 475014600216 is 612006410574.

475014600216 is a `hidden beast` number, since 47 + 5 + 0 + 1 + 4 + 600 + 2 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475014600217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 267570 + ... + 1010753.

Almost surely, 2475014600216 is an apocalyptic number.

It is an amenable number.

475014600216 is an abundant number, since it is smaller than the sum of its proper divisors (913935558744).

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

475014600216 is a wasteful number, since it uses less digits than its factorization.

475014600216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278745 (or 1278738 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 475014600216 in words is "four hundred seventy-five billion, fourteen million, six hundred thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 397 468 794 936 1191 1588 2382 3176 3573 4764 5161 7146 9528 10322 14292 15483 20644 28584 30966 41288 46449 61932 92898 123864 185796 371592 1278323 2556646 3834969 5113292 7669938 10226584 11504907 15339876 16618199 23009814 30679752 33236398 46019628 49854597 66472796 92039256 99709194 132945592 149563791 199418388 299127582 398836776 507494231 598255164 1014988462 1196510328 1522482693 2029976924 3044965386 4059953848 4567448079 6089930772 6597425003 9134896158 12179861544 13194850006 18269792316 19792275009 26389700012 36539584632 39584550018 52779400024 59376825027 79169100036 118753650054 158338200072 237507300108 475014600216