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74247302680 = 235311732831223
BaseRepresentation
bin100010100100101111…
…0111110111000011000
321002122102101202211021
41011021132332320120
52204024302141210
654035253212224
75235626442205
oct1051136767030
9232572352737
1074247302680
1129540737481
1212481331074
137003375ac5
143844b42cac
151de8435bda
hex11497bee18

74247302680 has 128 divisors (see below), whose sum is σ = 174197329920. Its totient is φ = 28450506240.

The previous prime is 74247302669. The next prime is 74247302707. The reversal of 74247302680 is 8620374247.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

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, 60708549 + ... + 60709771.

It is an arithmetic number, because the mean of its divisors is an integer number (1360916640).

Almost surely, 274247302680 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 74247302680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87098664960).

74247302680 is an abundant number, since it is smaller than the sum of its proper divisors (99950027240).

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

74247302680 is a wasteful number, since it uses less digits than its factorization.

74247302680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 43.

The spelling of 74247302680 in words is "seventy-four billion, two hundred forty-seven million, three hundred two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 173 248 283 310 346 566 620 692 865 1132 1223 1240 1384 1415 1730 2264 2446 2830 3460 4892 5363 5660 6115 6920 8773 9784 10726 11320 12230 17546 21452 24460 26815 35092 37913 42904 43865 48920 48959 53630 70184 75826 87730 97918 107260 151652 175460 189565 195836 211579 214520 244795 303304 346109 350920 379130 391672 423158 489590 692218 758260 846316 979180 1057895 1384436 1516520 1517729 1692632 1730545 1958360 2115790 2768872 3035458 3461090 4231580 6070916 6558949 6922180 7588645 8463160 10729379 12141832 13117898 13844360 15177290 21458758 26235796 30354580 32794745 42917516 52471592 53646895 59876857 60709160 65589490 85835032 107293790 119753714 131178980 214587580 239507428 262357960 299384285 429175160 479014856 598768570 1197537140 1856182567 2395074280 3712365134 7424730268 9280912835 14849460536 18561825670 37123651340 74247302680