Search a number
-
+
50506786746 = 232131967169553
BaseRepresentation
bin101111000010011100…
…000110011110111010
311211100220102121100100
4233002130012132322
51311414214133441
635111423420230
73435414414063
oct570234063672
9154326377310
1050506786746
111a468845479
129956754676
1349bba5cc40
142631b7156a
1514a90edcb6
hexbc27067ba

50506786746 has 96 divisors (see below), whose sum is σ = 125904018240. Its totient is φ = 14502799872.

The previous prime is 50506786739. The next prime is 50506786753. The reversal of 50506786746 is 64768760505.

50506786746 is a `hidden beast` number, since 5 + 0 + 506 + 78 + 67 + 4 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (50506786739) and next prime (50506786753).

It is a junction number, because it is equal to n+sod(n) for n = 50506786692 and 50506786701.

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 47 ways as a sum of consecutive naturals, for example, 213106 + ... + 382658.

It is an arithmetic number, because the mean of its divisors is an integer number (1311500190).

Almost surely, 250506786746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50506786746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62952009120).

50506786746 is an abundant number, since it is smaller than the sum of its proper divisors (75397231494).

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

50506786746 is a wasteful number, since it uses less digits than its factorization.

50506786746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169660 (or 169657 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 50506786746 in words is "fifty billion, five hundred six million, seven hundred eighty-six thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 67 78 114 117 134 171 201 234 247 342 402 494 603 741 871 1206 1273 1482 1742 2223 2546 2613 3819 4446 5226 7638 7839 11457 15678 16549 22914 33098 49647 99294 148941 169553 297882 339106 508659 1017318 1525977 2204189 3051954 3221507 4408378 6443014 6612567 9664521 11360051 13225134 19329042 19837701 22720102 28993563 34080153 39675402 41879591 57987126 68160306 83759182 102240459 125638773 147680663 204480918 215840969 251277546 295361326 376916319 431681938 443041989 647522907 753832638 886083978 1295045814 1329125967 1942568721 2658251934 2805932597 3885137442 5611865194 8417797791 16835595582 25253393373 50506786746