Search a number
-
+
46409862128 = 2475373107101
BaseRepresentation
bin101011001110001111…
…100100101111110000
311102210101100021022112
4223032033210233300
51230021411042003
633153112224452
73232036214330
oct531617445760
9142711307275
1046409862128
1118756180363
128bb269b128
1344b80337a6
1423639cb0c0
1513195d03d8
hexace3e4bf0

46409862128 has 80 divisors (see below), whose sum is σ = 106138938816. Its totient is φ = 19247155200.

The previous prime is 46409862119. The next prime is 46409862131. The reversal of 46409862128 is 82126890464.

It is a congruent number.

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, 379778 + ... + 486878.

Almost surely, 246409862128 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 46409862128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53069469408).

46409862128 is an abundant number, since it is smaller than the sum of its proper divisors (59729076688).

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

46409862128 is a wasteful number, since it uses less digits than its factorization.

46409862128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107242 (or 107236 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 50.

The spelling of 46409862128 in words is "forty-six billion, four hundred nine million, eight hundred sixty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 53 56 73 106 112 146 212 292 371 424 511 584 742 848 1022 1168 1484 2044 2968 3869 4088 5936 7738 8176 15476 27083 30952 54166 61904 107101 108332 214202 216664 428404 433328 749707 856808 1499414 1713616 2998828 5676353 5997656 7818373 11352706 11995312 15636746 22705412 31273492 39734471 45410824 54728611 62546984 79468942 90821648 109457222 125093968 158937884 218914444 317875768 414373769 437828888 635751536 828747538 875657776 1657495076 2900616383 3314990152 5801232766 6629980304 11602465532 23204931064 46409862128