Search a number
-
+
47230723776 = 2633723772797
BaseRepresentation
bin101011111111001010…
…111010011011000000
311111220120221100210210
4223333022322123000
51233212031130101
633410354154120
73261264346065
oct537712723300
9144816840723
1047230723776
111903756a915
1291a1582940
1345b910c042
142400a26c6c
1513666c87d6
hexaff2ba6c0

47230723776 has 112 divisors (see below), whose sum is σ = 128441943776. Its totient is φ = 15306153984.

The previous prime is 47230723759. The next prime is 47230723783. The reversal of 47230723776 is 67732703274.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16884810 + ... + 16887606.

Almost surely, 247230723776 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 47230723776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64220971888).

47230723776 is an abundant number, since it is smaller than the sum of its proper divisors (81211220000).

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

47230723776 is a wasteful number, since it uses less digits than its factorization.

47230723776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5226 (or 5216 counting only the distinct ones).

The product of its (nonzero) digits is 2074464, while the sum is 48.

The spelling of 47230723776 in words is "forty-seven billion, two hundred thirty million, seven hundred twenty-three thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 888 1184 1776 2368 2377 2797 3552 4754 5594 7104 7131 8391 9508 11188 14262 16782 19016 22376 28524 33564 38032 44752 57048 67128 76064 87949 89504 103489 114096 134256 152128 175898 179008 206978 228192 263847 268512 310467 351796 413956 456384 527694 537024 620934 703592 827912 1055388 1241868 1407184 1655824 2110776 2483736 2814368 3311648 4221552 4967472 5628736 6623296 6648469 8443104 9934944 13296938 16886208 19869888 19945407 26593876 39890814 53187752 79781628 106375504 159563256 212751008 245993353 319126512 425502016 491986706 638253024 737980059 983973412 1276506048 1475960118 1967946824 2951920236 3935893648 5903840472 7871787296 11807680944 15743574592 23615361888 47230723776