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73947433890 = 235113594431409
BaseRepresentation
bin100010011011110011…
…1000100101110100010
321001212112010212011210
41010313213010232202
52202421020341030
653545422050550
75225325550161
oct1046747045642
9231775125153
1073947433890
11293a7442630
12123b8a19a56
136c861c2955
143816da53d8
151dcbe50bb0
hex11379c4ba2

73947433890 has 128 divisors (see below), whose sum is σ = 194723481600. Its totient is φ = 17823703040.

The previous prime is 73947433843. The next prime is 73947433897. The reversal of 73947433890 is 9833474937.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 73947433890.

It is not an unprimeable number, because it can be changed into a prime (73947433897) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52481506 + ... + 52482914.

It is an arithmetic number, because the mean of its divisors is an integer number (1521277200).

Almost surely, 273947433890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73947433890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97361740800).

73947433890 is an abundant number, since it is smaller than the sum of its proper divisors (120776047710).

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

73947433890 is a wasteful number, since it uses less digits than its factorization.

73947433890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232.

The product of its (nonzero) digits is 13716864, while the sum is 57.

The spelling of 73947433890 in words is "seventy-three billion, nine hundred forty-seven million, four hundred thirty-three thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 359 443 718 886 1077 1329 1409 1795 2154 2215 2658 2818 3590 3949 4227 4430 4873 5385 6645 7045 7898 8454 9746 10770 11847 13290 14090 14619 15499 19745 21135 23694 24365 29238 30998 39490 42270 46497 48730 59235 73095 77495 92994 118470 146190 154990 159037 232485 318074 464970 477111 505831 624187 795185 954222 1011662 1248374 1517493 1590370 1749407 1872561 2385555 2529155 3034986 3120935 3498814 3745122 4771110 5058310 5248221 5564141 6241870 6866057 7587465 8747035 9362805 10496442 11128282 13732114 15174930 16692423 17494070 18725610 20598171 26241105 27820705 33384846 34330285 41196342 52482210 55641410 68660570 83462115 102990855 166924230 205981710 224083133 448166266 672249399 1120415665 1344498798 2240831330 2464914463 3361246995 4929828926 6722493990 7394743389 12324572315 14789486778 24649144630 36973716945 73947433890