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45996402432 = 283232639901
BaseRepresentation
bin101010110101100110…
…010110011100000000
311101201120100100020110
4222311212112130000
51223200034334212
633044102311320
73215555653431
oct526546263400
9141646310213
1045996402432
1118563851a32
128ab8128540
13445048b996
142324b21488
1512e315da3c
hexab5996700

45996402432 has 144 divisors (see below), whose sum is σ = 128238663168. Its totient is φ = 14608281600.

The previous prime is 45996402391. The next prime is 45996402437. The reversal of 45996402432 is 23420469954.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45996402437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4640682 + ... + 4650582.

It is an arithmetic number, because the mean of its divisors is an integer number (890546272).

Almost surely, 245996402432 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 45996402432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64119331584).

45996402432 is an abundant number, since it is smaller than the sum of its proper divisors (82242260736).

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

45996402432 is a wasteful number, since it uses less digits than its factorization.

45996402432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10206 (or 10192 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 45996402432 in words is "forty-five billion, nine hundred ninety-six million, four hundred two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 263 276 368 384 526 552 736 768 789 1052 1104 1472 1578 2104 2208 2944 3156 4208 4416 5888 6049 6312 8416 8832 9901 12098 12624 16832 17664 18147 19802 24196 25248 29703 33664 36294 39604 48392 50496 59406 67328 72588 79208 96784 100992 118812 145176 158416 193568 201984 227723 237624 290352 316832 387136 455446 475248 580704 633664 683169 774272 910892 950496 1161408 1267328 1366338 1548544 1821784 1900992 2322816 2534656 2603963 2732676 3643568 3801984 4645632 5207926 5465352 7287136 7603968 7811889 10415852 10930704 14574272 15623778 20831704 21861408 29148544 31247556 41663408 43722816 58297088 59891149 62495112 83326816 87445632 119782298 124990224 166653632 174891264 179673447 239564596 249980448 333307264 359346894 479129192 499960896 666614528 718693788 958258384 999921792 1437387576 1916516768 1999843584 2874775152 3833033536 5749550304 7666067072 11499100608 15332134144 22998201216 45996402432