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46127954340828 = 223729031816387
BaseRepresentation
bin10100111110100000000000…
…10101010010101111011100
320001022210022110010120000000
422133100000111102233130
522021230022302401303
6242034520100534300
712500430465362313
oct1237200025225734
9201283273116000
1046127954340828
1113774834743638
12520baa66b1390
131c97b02a59369
14b56867bd127a
1554ed62136da3
hex29f400552bdc

46127954340828 has 96 divisors (see below), whose sum is σ = 121109195665920. Its totient is φ = 15370679733552.

The previous prime is 46127954340817. The next prime is 46127954340851. The reversal of 46127954340828 is 82804345972164.

46127954340828 is a `hidden beast` number, since 4 + 6 + 1 + 2 + 7 + 9 + 543 + 4 + 0 + 82 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24487251 + ... + 26303637.

It is an arithmetic number, because the mean of its divisors is an integer number (1261554121520).

It is a 1-persistent number, because it is pandigital, but 2⋅46127954340828 = 92255908681656 is not.

Almost surely, 246127954340828 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 46127954340828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60554597832960).

46127954340828 is an abundant number, since it is smaller than the sum of its proper divisors (74981241325092).

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

46127954340828 is a wasteful number, since it uses less digits than its factorization.

46127954340828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1819315 (or 1819295 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 46127954340828 in words is "forty-six trillion, one hundred twenty-seven billion, nine hundred fifty-four million, three hundred forty thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2903 2916 4374 5806 8709 8748 11612 17418 26127 34836 52254 78381 104508 156762 235143 313524 470286 705429 940572 1410858 1816387 2116287 2821716 3632774 4232574 5449161 6348861 7265548 8465148 10898322 12697722 16347483 21796644 25395444 32694966 49042449 65389932 98084898 147127347 196169796 294254694 441382041 588509388 882764082 1324146123 1765528164 2648292246 3972438369 5272971461 5296584492 7944876738 10545942922 15818914383 15889753476 21091885844 31637828766 47456743149 63275657532 94913486298 142370229447 189826972596 284740458894 427110688341 569480917788 854221376682 1281332065023 1708442753364 2562664130046 3843996195069 5125328260092 7687992390138 11531988585207 15375984780276 23063977170414 46127954340828