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46752707421464 = 2311193211367097
BaseRepresentation
bin10101010000101011101101…
…00001001010010100011000
320010112111220120021101121112
422220111312201022110120
522111444021044441324
6243233521451355452
712563525450060222
oct1250256641122430
9203474816241545
1046752707421464
1113995791553a70
1252b0ba3152b88
1320119b8a18935
14b78bb3705412
1556122a150c0e
hex2a857684a518

46752707421464 has 128 divisors (see below), whose sum is σ = 101421248083200. Its totient is φ = 20037274387200.

The previous prime is 46752707421401. The next prime is 46752707421499. The reversal of 46752707421464 is 46412470725764.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127174364 + ... + 127541460.

It is an arithmetic number, because the mean of its divisors is an integer number (792353500650).

Almost surely, 246752707421464 is an apocalyptic number.

46752707421464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46752707421464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50710624041600).

46752707421464 is an abundant number, since it is smaller than the sum of its proper divisors (54668540661736).

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

46752707421464 is a wasteful number, since it uses less digits than its factorization.

46752707421464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367382 (or 367340 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 59.

The spelling of 46752707421464 in words is "forty-six trillion, seven hundred fifty-two billion, seven hundred seven million, four hundred twenty-one thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 211 361 418 422 722 836 844 1444 1672 1688 2321 2888 3971 4009 4642 6859 7942 8018 9284 13718 15884 16036 18568 27436 31768 32072 44099 54872 75449 76171 88198 150898 152342 176396 301796 304684 352792 367097 603592 609368 734194 837881 1447249 1468388 1675762 2894498 2936776 3351524 4038067 5788996 6703048 6974843 8076134 11577992 13949686 15919739 16152268 27899372 31839478 32304536 55798744 63678956 76723273 77457467 127357912 132522017 153446546 154914934 265044034 306893092 309829868 530088068 613786184 619659736 852032137 1060176136 1457742187 1471691873 1704064274 2517918323 2915484374 2943383746 3408128548 5035836646 5830968748 5886767492 6816257096 10071673292 11661937496 11773534984 16188610603 20143346584 27697101553 27962145587 32377221206 55394203106 55924291174 64754442412 110788406212 111848582348 129508884824 221576812424 223697164696 307583601457 531280766153 615167202914 1062561532306 1230334405828 2125123064612 2460668811656 4250246129224 5844088427683 11688176855366 23376353710732 46752707421464