Search a number
-
+
46867181949 = 32722331149053
BaseRepresentation
bin101011101001100000…
…000111000101111101
311110222020212112011200
4223221200013011331
51231440444310244
633310330210113
73246261321300
oct535140070575
9143866775150
1046867181949
1118970336525
1290bb883939
13455b9c4133
1423a8632b37
151344817669
hexae980717d

46867181949 has 72 divisors (see below), whose sum is σ = 84824842752. Its totient is φ = 24790328640.

The previous prime is 46867181947. The next prime is 46867181957. The reversal of 46867181949 is 94918176864.

46867181949 is a `hidden beast` number, since 468 + 6 + 7 + 1 + 81 + 94 + 9 = 666.

46867181949 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 46867181949 - 21 = 46867181947 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46867181947) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 239907 + ... + 388959.

It is an arithmetic number, because the mean of its divisors is an integer number (1178122816).

Almost surely, 246867181949 is an apocalyptic number.

46867181949 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

46867181949 is a deficient number, since it is larger than the sum of its proper divisors (37957660803).

46867181949 is a wasteful number, since it uses less digits than its factorization.

46867181949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149127 (or 149117 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 63.

The spelling of 46867181949 in words is "forty-six billion, eight hundred sixty-seven million, one hundred eighty-one thousand, nine hundred forty-nine".

Divisors: 1 3 7 9 21 23 31 49 63 69 93 147 161 207 217 279 441 483 651 713 1127 1449 1519 1953 2139 3381 4557 4991 6417 10143 13671 14973 34937 44919 104811 149053 314433 447159 1043371 1341477 3130113 3428219 4620643 7303597 9390339 10284657 13861929 21910791 23997533 30853971 32344501 41585787 65732373 71992599 97033503 106274789 167982731 215977797 226411507 291100509 318824367 503948193 679234521 743923523 956473101 1511844579 2037703563 2231770569 5207464661 6695311707 15622393983 46867181949