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504545555440 = 245172325516323
BaseRepresentation
bin1110101011110010100…
…00100011001111110000
31210020022122110212001201
413111321100203033300
531231302130233230
61023441322140544
751311052313513
oct7257120431760
91706278425051
10504545555440
11184a818a3593
128194b351754
1338769ab4954
141a5c4bcad7a
15d1cec1e5ca
hex75794233f0

504545555440 has 160 divisors (see below), whose sum is σ = 1296788714496. Its totient is φ = 181588070400.

The previous prime is 504545555419. The next prime is 504545555441. The reversal of 504545555440 is 44555545405.

It is a super-2 number, since 2×5045455554402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504545555441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79792119 + ... + 79798441.

Almost surely, 2504545555440 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 504545555440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648394357248).

504545555440 is an abundant number, since it is smaller than the sum of its proper divisors (792243159056).

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

504545555440 is a wasteful number, since it uses less digits than its factorization.

504545555440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8927 (or 8921 counting only the distinct ones).

The product of its (nonzero) digits is 4000000, while the sum is 46.

The spelling of 504545555440 in words is "five hundred four billion, five hundred forty-five million, five hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 23 34 40 46 68 80 85 92 115 136 170 184 230 272 340 368 391 460 680 782 920 1360 1564 1840 1955 2551 3128 3910 5102 6256 6323 7820 10204 12646 12755 15640 20408 25292 25510 31280 31615 40816 43367 50584 51020 58673 63230 86734 101168 102040 107491 117346 126460 145429 173468 204080 214982 216835 234692 252920 290858 293365 346936 429964 433670 469384 505840 537455 581716 586730 693872 727145 859928 867340 938768 997441 1074910 1163432 1173460 1454290 1719856 1734680 1994882 2149820 2326864 2346920 2472293 2908580 3469360 3989764 4299640 4693840 4944586 4987205 5817160 7979528 8599280 9889172 9974410 11634320 12361465 15959056 16129973 19778344 19948820 24722930 32259946 39556688 39897640 49445860 64519892 79795280 80649865 98891720 129039784 161299730 197783440 258079568 274209541 322599460 370989379 548419082 645198920 741978758 1096838164 1290397840 1371047705 1483957516 1854946895 2193676328 2742095410 2967915032 3709893790 4387352656 5484190820 5935830064 6306819443 7419787580 10968381640 12613638886 14839575160 21936763280 25227277772 29679150320 31534097215 50454555544 63068194430 100909111088 126136388860 252272777720 504545555440