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4019053824912 = 243729523788651
BaseRepresentation
bin111010011111000010010…
…001101000101110010000
3112020012212202211021222010
4322133002101220232100
51011322010234344122
612314154451342520
7563236620564060
oct72370221505620
915205782737863
104019053824912
11130a520120305
1254ab04bb1a40
13231cc2460549
14dc747ac93a0
156e828b27e0c
hex3a7c2468b90

4019053824912 has 160 divisors (see below), whose sum is σ = 12298428564480. Its totient is φ = 1106583206400.

The previous prime is 4019053824853. The next prime is 4019053824937. The reversal of 4019053824912 is 2194283509104.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4701787 + ... + 5490437.

It is an arithmetic number, because the mean of its divisors is an integer number (76865178528).

Almost surely, 24019053824912 is an apocalyptic number.

4019053824912 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4019053824912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6149214282240).

4019053824912 is an abundant number, since it is smaller than the sum of its proper divisors (8279374739568).

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

4019053824912 is a wasteful number, since it uses less digits than its factorization.

4019053824912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789221 (or 789215 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 4019053824912 in words is "four trillion, nineteen billion, fifty-three million, eight hundred twenty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 336 348 406 464 523 609 696 812 1046 1218 1392 1569 1624 2092 2436 3138 3248 3661 4184 4872 6276 7322 8368 9744 10983 12552 14644 15167 21966 25104 29288 30334 43932 45501 58576 60668 87864 91002 106169 121336 175728 182004 212338 242672 318507 364008 424676 637014 728016 788651 849352 1274028 1577302 1698704 2365953 2548056 3154604 4731906 5096112 5520557 6309208 9463812 11041114 12618416 16561671 18927624 22082228 22870879 33123342 37855248 44164456 45741758 66246684 68612637 88328912 91483516 132493368 137225274 160096153 182967032 264986736 274450548 320192306 365934064 412464473 480288459 548901096 640384612 824928946 960576918 1097802192 1237393419 1280769224 1649857892 1921153836 2474786838 2561538448 2887251311 3299715784 3842307672 4949573676 5774502622 6599431568 7684615344 8661753933 9899147352 11549005244 11961469717 17323507866 19798294704 23098010488 23922939434 34647015732 35884409151 46196020976 47845878868 69294031464 71768818302 83730288019 95691757736 138588062928 143537636604 167460576038 191383515472 251190864057 287075273208 334921152076 502381728114 574150546416 669842304152 1004763456228 1339684608304 2009526912456 4019053824912