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10073437740 = 22325109513427
BaseRepresentation
bin10010110000110110…
…00111011000101100
3222000000221122202200
421120123013120230
5131112300001430
64343324421500
7504425544102
oct113033073054
928000848680
1010073437740
1142aa213963
121b516a7890
13c46c90962
146b7bdbc72
153de567460
hex2586c762c

10073437740 has 72 divisors (see below), whose sum is σ = 30836485680. Its totient is φ = 2661600384.

The previous prime is 10073437697. The next prime is 10073437741. The reversal of 10073437740 is 4773437001.

It is a super-3 number, since 3×100734377403 (a number of 31 digits) contains 333 as substring.

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 = 10073437695 and 10073437704.

It is not an unprimeable number, because it can be changed into a prime (10073437741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 237094 + ... + 276333.

Almost surely, 210073437740 is an apocalyptic number.

10073437740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10073437740 is an abundant number, since it is smaller than the sum of its proper divisors (20763047940).

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

10073437740 is a wasteful number, since it uses less digits than its factorization.

10073437740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513551 (or 513546 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The spelling of 10073437740 in words is "ten billion, seventy-three million, four hundred thirty-seven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 109 180 218 327 436 545 654 981 1090 1308 1635 1962 2180 3270 3924 4905 6540 9810 19620 513427 1026854 1540281 2053708 2567135 3080562 4620843 5134270 6161124 7701405 9241686 10268540 15402810 18483372 23104215 30805620 46208430 55963543 92416860 111927086 167890629 223854172 279817715 335781258 503671887 559635430 671562516 839453145 1007343774 1119270860 1678906290 2014687548 2518359435 3357812580 5036718870 10073437740