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74486029248 = 263459243533
BaseRepresentation
bin100010101011110110…
…1101001101111000000
321010021001121100010000
41011113231221233000
52210021410413443
654115102040000
75244555542061
oct1052755515700
9233231540100
1074486029248
1129653470264
1212529279000
13704096c127
143868726568
151e0e38e8d3
hex1157b69bc0

74486029248 has 140 divisors (see below), whose sum is σ = 224543218680. Its totient is φ = 24407751168.

The previous prime is 74486029201. The next prime is 74486029271. The reversal of 74486029248 is 84292068447.

74486029248 is a `hidden beast` number, since 7 + 4 + 4 + 8 + 602 + 9 + 24 + 8 = 666.

It is a super-2 number, since 2×744860292482 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 74486029194 and 74486029203.

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 19 ways as a sum of consecutive naturals, for example, 184090 + ... + 427622.

Almost surely, 274486029248 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 74486029248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112271609340).

74486029248 is an abundant number, since it is smaller than the sum of its proper divisors (150057189432).

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

74486029248 is a wasteful number, since it uses less digits than its factorization.

74486029248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243616 (or 243597 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 74486029248 in words is "seventy-four billion, four hundred eighty-six million, twenty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 64 72 81 96 108 118 144 162 177 192 216 236 288 324 354 432 472 531 576 648 708 864 944 1062 1296 1416 1593 1728 1888 2124 2592 2832 3186 3776 4248 4779 5184 5664 6372 8496 9558 11328 12744 16992 19116 25488 33984 38232 50976 76464 101952 152928 243533 305856 487066 730599 974132 1461198 1948264 2191797 2922396 3896528 4383594 5844792 6575391 7793056 8767188 11689584 13150782 14368447 15586112 17534376 19726173 23379168 26301564 28736894 35068752 39452346 43105341 46758336 52603128 57473788 70137504 78904692 86210682 105206256 114947576 129316023 140275008 157809384 172421364 210412512 229895152 258632046 315618768 344842728 387948069 420825024 459790304 517264092 631237536 689685456 775896138 919580608 1034528184 1163844207 1262475072 1379370912 1551792276 2069056368 2327688414 2758741824 3103584552 4138112736 4655376828 6207169104 8276225472 9310753656 12414338208 18621507312 24828676416 37243014624 74486029248