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2153426256 = 2433191671571
BaseRepresentation
bin1000000001011010…
…1010110101010000
312120002001101111000
42000112222311100
513402234120011
6553403222000
7104235551442
oct20026526520
95502041430
102153426256
11a0560a023
12501217900
132841a5927
14165dd6492
15c90bc356
hex805aad50

2153426256 has 160 divisors (see below), whose sum is σ = 6549580800. Its totient is φ = 675527040.

The previous prime is 2153426239. The next prime is 2153426263. The reversal of 2153426256 is 6526243512.

2153426256 is a `hidden beast` number, since 21 + 5 + 3 + 4 + 2 + 625 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2153426256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1369951 + ... + 1371521.

It is an arithmetic number, because the mean of its divisors is an integer number (40934880).

Almost surely, 22153426256 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 2153426256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3274790400).

2153426256 is an abundant number, since it is smaller than the sum of its proper divisors (4396154544).

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

2153426256 is a wasteful number, since it uses less digits than its factorization.

2153426256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1762 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 2153426256 is about 46405.0240383517. The cubic root of 2153426256 is about 1291.3481201258.

Adding to 2153426256 its reverse (6526243512), we get a palindrome (8679669768).

The spelling of 2153426256 in words is "two billion, one hundred fifty-three million, four hundred twenty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 167 171 216 228 304 334 342 432 456 501 513 668 684 912 1002 1026 1336 1368 1503 1571 2004 2052 2672 2736 3006 3142 3173 4008 4104 4509 4713 6012 6284 6346 8016 8208 9018 9426 9519 12024 12568 12692 14139 18036 18852 19038 24048 25136 25384 28278 28557 29849 36072 37704 38076 42417 50768 56556 57114 59698 72144 75408 76152 84834 85671 89547 113112 114228 119396 152304 169668 171342 179094 226224 228456 238792 262357 268641 339336 342684 358188 456912 477584 524714 537282 678672 685368 716376 787071 805923 1049428 1074564 1370736 1432752 1574142 1611846 2098856 2149128 2361213 3148284 3223692 4197712 4298256 4722426 4984783 6296568 6447384 7083639 9444852 9969566 12593136 12894768 14167278 14954349 18889704 19939132 28334556 29908698 37779408 39878264 44863047 56669112 59817396 79756528 89726094 113338224 119634792 134589141 179452188 239269584 269178282 358904376 538356564 717808752 1076713128 2153426256