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4001799960504 = 233425726938923
BaseRepresentation
bin111010001110111101110…
…111010111011110111000
3112011120100022122011120000
4322032331313113132320
51011031141242214004
612302222421233000
7562056222264303
oct72167567273670
915146308564500
104001799960504
111303176829635
125476aa862760
132304a29a3818
14db98c405b3a
156e169006c39
hex3a3bddd77b8

4001799960504 has 160 divisors (see below), whose sum is σ = 11257798947120. Its totient is φ = 1328100655104.

The previous prime is 4001799960491. The next prime is 4001799960527. The reversal of 4001799960504 is 4050699971004.

It is a happy number.

4001799960504 is a `hidden beast` number, since 4 + 0 + 0 + 1 + 79 + 9 + 9 + 60 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 448476987 + ... + 448485909.

Almost surely, 24001799960504 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 4001799960504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5628899473560).

4001799960504 is an abundant number, since it is smaller than the sum of its proper divisors (7255998986616).

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

4001799960504 is a wasteful number, since it uses less digits than its factorization.

4001799960504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11891 (or 11878 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 4001799960504 in words is "four trillion, one billion, seven hundred ninety-nine million, nine hundred sixty thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 257 324 514 648 771 1028 1542 2056 2313 2693 3084 4626 5386 6168 6939 8079 8923 9252 10772 13878 16158 17846 18504 20817 21544 24237 26769 27756 32316 35692 41634 48474 53538 55512 64632 71384 72711 80307 83268 96948 107076 145422 160614 166536 193896 214152 218133 240921 290844 321228 436266 481842 581688 642456 692101 722763 872532 963684 1384202 1445526 1745064 1927368 2076303 2293211 2768404 2891052 4152606 4586422 5536808 5782104 6228909 6879633 8305212 9172844 12457818 13759266 16610424 18345688 18686727 20638899 24029639 24915636 27518532 37373454 41277798 48059278 49831272 55037064 56060181 61916697 72088917 74746908 82555596 96118556 112120362 123833394 144177834 149493816 165111192 185750091 192237112 216266751 224240724 247666788 288355668 371500182 432533502 448481448 495333576 576711336 648800253 743000364 865067004 1297600506 1486000728 1730134008 1946400759 2595201012 3892801518 5190402024 6175617223 7785603036 12351234446 15571206072 18526851669 24702468892 37053703338 49404937784 55580555007 74107406676 111161110014 148214813352 166741665021 222322220028 333483330042 444644440056 500224995063 666966660084 1000449990126 1333933320168 2000899980252 4001799960504