Search a number
-
+
74465603320 = 235191131316619
BaseRepresentation
bin100010101011001111…
…1101110111011111000
321010012122011121000011
41011112133232323320
52210001143301240
654113052151304
75244220120213
oct1052637567370
9233178147004
1074465603320
1129642989a29
1212522468534
137039669b94
143865b2a77a
151e0c6a76ea
hex11567eeef8

74465603320 has 128 divisors (see below), whose sum is σ = 179311968000. Its totient is φ = 27751127040.

The previous prime is 74465603309. The next prime is 74465603323. The reversal of 74465603320 is 2330656447.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74465603323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11246971 + ... + 11253589.

It is an arithmetic number, because the mean of its divisors is an integer number (1400874750).

Almost surely, 274465603320 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 74465603320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89655984000).

74465603320 is an abundant number, since it is smaller than the sum of its proper divisors (104846364680).

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

74465603320 is a wasteful number, since it uses less digits than its factorization.

74465603320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6893 (or 6889 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 40.

The spelling of 74465603320 in words is "seventy-four billion, four hundred sixty-five million, six hundred three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 113 131 152 190 226 262 380 452 524 565 655 760 904 1048 1130 1310 2147 2260 2489 2620 4294 4520 4978 5240 6619 8588 9956 10735 12445 13238 14803 17176 19912 21470 24890 26476 29606 33095 42940 49780 52952 59212 66190 74015 85880 99560 118424 125761 132380 148030 251522 264760 281257 296060 503044 562514 592120 628805 747947 867089 1006088 1125028 1257610 1406285 1495894 1734178 2250056 2515220 2812570 2991788 3468356 3739735 4335445 5030440 5625140 5983576 6936712 7479470 8670890 11250280 14210993 14958940 16474691 17341780 28421986 29917880 32949382 34683560 56843972 65898764 71054965 82373455 97981057 113687944 131797528 142109930 164746910 195962114 284219860 329493820 391924228 489905285 568439720 658987640 783848456 979810570 1861640083 1959621140 3723280166 3919242280 7446560332 9308200415 14893120664 18616400830 37232801660 74465603320