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46172227164 = 223747101115793
BaseRepresentation
bin101011000000000101…
…000100011001011100
311102011211012011102120
4223000011010121130
51224030042232124
633113343022540
73223122312120
oct530005043134
9142154164376
1046172227164
1118644022728
128b46b9aa50
13447aa3029b
14234020d580
1513037ded79
hexac014465c

46172227164 has 96 divisors (see below), whose sum is σ = 126991742976. Its totient is φ = 12783436800.

The previous prime is 46172227133. The next prime is 46172227169.

46172227164 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×461722271642 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46172227169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 340852 + ... + 456644.

It is an arithmetic number, because the mean of its divisors is an integer number (1322830656).

Almost surely, 246172227164 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 46172227164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63495871488).

46172227164 is an abundant number, since it is smaller than the sum of its proper divisors (80819515812).

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

46172227164 is a wasteful number, since it uses less digits than its factorization.

46172227164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115955 (or 115953 counting only the distinct ones).

The product of its digits is 225792, while the sum is 42.

The spelling of 46172227164 in words is "forty-six billion, one hundred seventy-two million, two hundred twenty-seven thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 84 94 101 141 188 202 282 303 329 404 564 606 658 707 987 1212 1316 1414 1974 2121 2828 3948 4242 4747 8484 9494 14241 18988 28482 33229 56964 66458 99687 115793 132916 199374 231586 347379 398748 463172 694758 810551 1389516 1621102 2431653 3242204 4863306 5442271 9726612 10884542 11695093 16326813 21769084 23390186 32653626 35085279 38095897 46780372 65307252 70170558 76191794 81865651 114287691 140341116 152383588 163731302 228575382 245596953 327462604 457150764 491193906 549669371 982387812 1099338742 1649008113 2198677484 3298016226 3847685597 6596032452 7695371194 11543056791 15390742388 23086113582 46172227164