Search a number
-
+
520945698402 = 2332310113730313
BaseRepresentation
bin1111001010010101100…
…10001000011001100010
31211210122121020102211000
413211022302020121202
532013344044322102
61035152534132430
752431343242423
oct7451262103142
91753577212730
10520945698402
11190a282a1748
1284b677b1116
133a18172c55c
141b2dcd5d64a
15d83e90601c
hex794ac88662

520945698402 has 128 divisors (see below), whose sum is σ = 1228895608320. Its totient is φ = 163248307200.

The previous prime is 520945698401. The next prime is 520945698541. The reversal of 520945698402 is 204896549025.

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

It is not an unprimeable number, because it can be changed into a prime (520945698401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17170398 + ... + 17200710.

It is an arithmetic number, because the mean of its divisors is an integer number (9600746940).

Almost surely, 2520945698402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 520945698402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614447804160).

520945698402 is an abundant number, since it is smaller than the sum of its proper divisors (707949909918).

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

520945698402 is a wasteful number, since it uses less digits than its factorization.

520945698402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30585 (or 30579 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 520945698402 in words is "five hundred twenty billion, nine hundred forty-five million, six hundred ninety-eight thousand, four hundred two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 101 137 138 202 207 274 303 411 414 606 621 822 909 1233 1242 1818 2323 2466 2727 3151 3699 4646 5454 6302 6969 7398 9453 13837 13938 18906 20907 27674 28359 30313 41511 41814 56718 60626 62721 83022 85077 90939 124533 125442 170154 181878 249066 272817 318251 373599 545634 636502 697199 747198 818451 954753 1394398 1636902 1909506 2091597 2864259 3061613 4152881 4183194 5728518 6123226 6274791 8305762 8592777 9184839 12458643 12549582 17185554 18369678 18824373 24917286 27554517 37375929 37648746 55109034 70417099 74751858 82663551 95516263 112127787 140834198 165327102 191032526 211251297 224255574 286548789 419440981 422502594 573097578 633753891 838881962 859646367 1258322943 1267507782 1719292734 1901261673 2516645886 2578939101 3774968829 3802523346 5157878202 7549937658 9647142563 11324906487 19294285126 22649812974 28941427689 57882855378 86824283067 173648566134 260472849201 520945698402