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74048530040688 = 2437793497993273
BaseRepresentation
bin10000110101100011000100…
…010101000100011101110000
3100201011222012101010222021010
4100311203010111010131300
534201202342142300223
6421253231452430520
721411554414132220
oct2065430425043560
9321158171128233
1074048530040688
1121659894848635
12837b126a78440
133241991b6a538
14143dd7a1b2080
1588628b282393
hex4358c4544770

74048530040688 has 160 divisors (see below), whose sum is σ = 222021178624000. Its totient is φ = 20829060016128.

The previous prime is 74048530040663. The next prime is 74048530040743. The reversal of 74048530040688 is 88604003584047.

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, 5267220 + ... + 13260492.

It is an arithmetic number, because the mean of its divisors is an integer number (1387632366400).

Almost surely, 274048530040688 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 74048530040688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111010589312000).

74048530040688 is an abundant number, since it is smaller than the sum of its proper divisors (147972648583312).

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

74048530040688 is a wasteful number, since it uses less digits than its factorization.

74048530040688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7993719 (or 7993713 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 57.

The spelling of 74048530040688 in words is "seventy-four trillion, forty-eight billion, five hundred thirty million, forty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 79 84 112 158 168 237 316 336 349 474 553 632 698 948 1047 1106 1264 1396 1659 1896 2094 2212 2443 2792 3318 3792 4188 4424 4886 5584 6636 7329 8376 8848 9772 13272 14658 16752 19544 26544 27571 29316 39088 55142 58632 82713 110284 117264 165426 192997 220568 330852 385994 441136 578991 661704 771988 1157982 1323408 1543976 2315964 3087952 4631928 7993273 9263856 15986546 23979819 31973092 47959638 55952911 63946184 95919276 111905822 127892368 167858733 191838552 223811644 335717466 383677104 447623288 631468567 671434932 895246576 1262937134 1342869864 1894405701 2525874268 2685739728 2789652277 3788811402 4420279969 5051748536 5579304554 7577622804 8368956831 8840559938 10103497072 11158609108 13260839907 15155245608 16737913662 17681119876 19527565939 22317218216 26521679814 30310491216 33475827324 35362239752 39055131878 44634436432 53043359628 58582697817 66951654648 70724479504 78110263756 106086719256 117165395634 133903309296 156220527512 212173438512 220382529883 234330791268 312441055024 440765059766 468661582536 661147589649 881530119532 937323165072 1322295179298 1542677709181 1763060239064 2644590358596 3085355418362 3526120478128 4628033127543 5289180717192 6170710836724 9256066255086 10578361434384 12341421673448 18512132510172 24682843346896 37024265020344 74048530040688