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56622303504 = 2434132258521
BaseRepresentation
bin110100101110111100…
…111100100100010000
312102011002212001020000
4310232330330210100
51411430302203004
642002324250000
74043103432024
oct645674744420
9172132761200
1056622303504
11220168a5758
12ab82840900
135454a43100
142a52050384
151715e53c39
hexd2ef3c910

56622303504 has 150 divisors (see below), whose sum is σ = 177458032026. Its totient is φ = 17422179840.

The previous prime is 56622303457. The next prime is 56622303527. The reversal of 56622303504 is 40530322665.

56622303504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 7715865600 + 48906437904 = 87840^2 + 221148^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 89764 + ... + 348284.

Almost surely, 256622303504 is an apocalyptic number.

56622303504 is a gapful number since it is divisible by the number (54) 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 56622303504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88729016013).

56622303504 is an abundant number, since it is smaller than the sum of its proper divisors (120835728522).

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

56622303504 is a wasteful number, since it uses less digits than its factorization.

56622303504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258567 (or 258539 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 56622303504 in words is "fifty-six billion, six hundred twenty-two million, three hundred three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 169 208 216 234 312 324 338 351 432 468 507 624 648 676 702 936 1014 1053 1296 1352 1404 1521 1872 2028 2106 2704 2808 3042 4056 4212 4563 5616 6084 8112 8424 9126 12168 13689 16848 18252 24336 27378 36504 54756 73008 109512 219024 258521 517042 775563 1034084 1551126 2068168 2326689 3102252 3360773 4136336 4653378 6204504 6721546 6980067 9306756 10082319 12409008 13443092 13960134 18613512 20164638 20940201 26886184 27920268 30246957 37227024 40329276 41880402 43690049 53772368 55840536 60493914 80658552 83760804 87380098 90740871 111681072 120987828 131070147 161317104 167521608 174760196 181481742 241975656 262140294 272222613 335043216 349520392 362963484 393210441 483951312 524280588 544445226 699040784 725926968 786420882 1048561176 1088890452 1179631323 1451853936 1572841764 2097122352 2177780904 2359262646 3145683528 3538893969 4355561808 4718525292 6291367056 7077787938 9437050584 14155575876 18874101168 28311151752 56622303504