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46942673418 = 237191075279
BaseRepresentation
bin101011101110000000…
…000101101000001010
311111011111220220000000
4223232000011220022
51232114311022133
633322024223430
73251166066114
oct535600055012
9144144826000
1046942673418
11189a9a08373
12912100ab76
134571536344
1423b46843b4
15134b27a413
hexaee005a0a

46942673418 has 128 divisors (see below), whose sum is σ = 112223232000. Its totient is φ = 14682678192.

The previous prime is 46942673389. The next prime is 46942673419. The reversal of 46942673418 is 81437624964.

It is a super-2 number, since 2×469426734182 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (46942673419) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8889703 + ... + 8894981.

It is an arithmetic number, because the mean of its divisors is an integer number (876744000).

Almost surely, 246942673418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46942673418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56111616000).

46942673418 is an abundant number, since it is smaller than the sum of its proper divisors (65280558582).

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

46942673418 is a wasteful number, since it uses less digits than its factorization.

46942673418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5428 (or 5410 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 46942673418 in words is "forty-six billion, nine hundred forty-two million, six hundred seventy-three thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 107 114 162 171 214 243 321 342 486 513 642 729 963 1026 1458 1539 1926 2033 2187 2889 3078 4066 4374 4617 5279 5778 6099 8667 9234 10558 12198 13851 15837 17334 18297 26001 27702 31674 36594 41553 47511 52002 54891 78003 83106 95022 100301 109782 142533 156006 164673 200602 234009 285066 300903 329346 427599 468018 494019 564853 601806 855198 902709 988038 1129706 1282797 1482057 1694559 1805418 2565594 2708127 2964114 3389118 3848391 4446171 5083677 5416254 7696782 8124381 8892342 10167354 10732207 11545173 15251031 16248762 21464414 23090346 24373143 30502062 32196621 45753093 48746286 64393242 73119429 91506186 96589863 137259279 146238858 193179726 219358287 274518558 289769589 411777837 438716574 579539178 823555674 869308767 1235333511 1738617534 2470667022 2607926301 5215852602 7823778903 15647557806 23471336709 46942673418