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40659246460 = 225721719128449
BaseRepresentation
bin100101110111011110…
…101101110101111100
310212221121112201122001
4211313132231311330
51131232231341320
630402324432044
72636400615100
oct456736556574
9125847481561
1040659246460
11162750a2728
127a68848624
133aac823121
141d79d77900
1510ce80920a
hex9777add7c

40659246460 has 144 divisors (see below), whose sum is σ = 110703348000. Its totient is φ = 12429656064.

The previous prime is 40659246457. The next prime is 40659246493. The reversal of 40659246460 is 6464295604.

It is a self number, because there is not a number n which added to its sum of digits gives 40659246460.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252316 + ... + 380764.

It is an arithmetic number, because the mean of its divisors is an integer number (768773250).

Almost surely, 240659246460 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 40659246460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55351674000).

40659246460 is an abundant number, since it is smaller than the sum of its proper divisors (70044101540).

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

40659246460 is a wasteful number, since it uses less digits than its factorization.

40659246460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128508 (or 128499 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 46.

The spelling of 40659246460 in words is "forty billion, six hundred fifty-nine million, two hundred forty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 17 19 20 28 34 35 38 49 68 70 76 85 95 98 119 133 140 170 190 196 238 245 266 323 340 380 476 490 532 595 646 665 833 931 980 1190 1292 1330 1615 1666 1862 2261 2380 2660 3230 3332 3724 4165 4522 4655 6460 8330 9044 9310 11305 15827 16660 18620 22610 31654 45220 63308 79135 128449 158270 256898 316540 513796 642245 899143 1284490 1798286 2183633 2440531 2568980 3596572 4367266 4495715 4881062 6294001 8734532 8991430 9762124 10918165 12202655 12588002 15285431 17083717 17982860 21836330 24405310 25176004 30570862 31470005 34167434 41489027 43672660 48810620 61141724 62940010 68334868 76427155 82978054 85418585 106998017 119586019 125880020 152854310 165956108 170837170 207445135 213996034 239172038 290423189 305708620 341674340 414890270 427992068 478344076 534990085 580846378 597930095 829780540 1069980170 1161692756 1195860190 1452115945 2032962323 2139960340 2391720380 2904231890 4065924646 5808463780 8131849292 10164811615 20329623230 40659246460