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72006156540 = 22325439303121
BaseRepresentation
bin100001100001111100…
…1101100000011111100
320212212020021202021200
41003003321230003330
52134432034002130
653025033455500
75126244142353
oct1030371540374
9225766252250
1072006156540
11285a066418a
1211b56871590
136a36c69026
1436b123499a
151d167dc760
hex10c3e6c0fc

72006156540 has 72 divisors (see below), whose sum is σ = 223498202928. Its totient is φ = 18755089920.

The previous prime is 72006156463. The next prime is 72006156559. The reversal of 72006156540 is 4565160027.

It is a happy number.

72006156540 is a `hidden beast` number, since 7 + 2 + 0 + 0 + 61 + 56 + 540 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 72006156495 and 72006156504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4643821 + ... + 4659300.

Almost surely, 272006156540 is an apocalyptic number.

It is an amenable number.

72006156540 is an abundant number, since it is smaller than the sum of its proper divisors (151492046388).

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

72006156540 is a wasteful number, since it uses less digits than its factorization.

72006156540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9303179 (or 9303174 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 72006156540 in words is "seventy-two billion, six million, one hundred fifty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1935 2580 3870 7740 9303121 18606242 27909363 37212484 46515605 55818726 83728089 93031210 111637452 139546815 167456178 186062420 279093630 334912356 400034203 418640445 558187260 800068406 837280890 1200102609 1600136812 1674561780 2000171015 2400205218 3600307827 4000342030 4800410436 6000513045 7200615654 8000684060 12001026090 14401231308 18001539135 24002052180 36003078270 72006156540