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74202992920 = 23571930745433
BaseRepresentation
bin100010100011011010…
…1111101000100011000
321002112100000121021001
41011012311331010120
52203431431233140
654031031354344
75234551014220
oct1050665750430
9232470017231
1074202992920
1129518722941
121246a5229b4
136cc7130704
14383cccb080
151de45d1e9a
hex1146d7d118

74202992920 has 128 divisors (see below), whose sum is σ = 201508876800. Its totient is φ = 24022987776.

The previous prime is 74202992917. The next prime is 74202993019. The reversal of 74202992920 is 2929920247.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1610524 + ... + 1655956.

It is an arithmetic number, because the mean of its divisors is an integer number (1574288100).

Almost surely, 274202992920 is an apocalyptic number.

74202992920 is a gapful number since it is divisible by the number (70) 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 74202992920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100754438400).

74202992920 is an abundant number, since it is smaller than the sum of its proper divisors (127305883880).

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

74202992920 is a wasteful number, since it uses less digits than its factorization.

74202992920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45777 (or 45773 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The spelling of 74202992920 in words is "seventy-four billion, two hundred two million, nine hundred ninety-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 307 380 532 614 665 760 1064 1228 1330 1535 2149 2456 2660 3070 4298 5320 5833 6140 8596 10745 11666 12280 17192 21490 23332 29165 40831 42980 45433 46664 58330 81662 85960 90866 116660 163324 181732 204155 227165 233320 318031 326648 363464 408310 454330 636062 816620 863227 908660 1272124 1590155 1633240 1726454 1817320 2544248 3180310 3452908 4316135 6042589 6360620 6905816 8632270 12085178 12721240 13947931 17264540 24170356 27895862 30212945 34529080 48340712 55791724 60425890 69739655 97635517 111583448 120851780 139479310 195271034 241703560 265010689 278958620 390542068 488177585 530021378 557917240 781084136 976355170 1060042756 1325053445 1855074823 1952710340 2120085512 2650106890 3710149646 3905420680 5300213780 7420299292 9275374115 10600427560 14840598584 18550748230 37101496460 74202992920