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1532946900342 = 23111321013135671
BaseRepresentation
bin10110010011101010110…
…000010110010101110110
312102112210201001002101210
4112103222300112111312
5200103433401302332
63132120500102250
7215515565442414
oct26235260262566
95375721032353
101532946900342
1154113461a250
12209118994986
13b1730190a00
14542a32182b4
1529d1ea78ecc
hex164eac16576

1532946900342 has 96 divisors (see below), whose sum is σ = 3625281743616. Its totient is φ = 428369884800.

The previous prime is 1532946900319. The next prime is 1532946900367. The reversal of 1532946900342 is 2430096492351.

It is a junction number, because it is equal to n+sod(n) for n = 1532946900291 and 1532946900300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11231167 + ... + 11366837.

It is an arithmetic number, because the mean of its divisors is an integer number (37763351496).

Almost surely, 21532946900342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1532946900342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812640871808).

1532946900342 is an abundant number, since it is smaller than the sum of its proper divisors (2092334843274).

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

1532946900342 is a wasteful number, since it uses less digits than its factorization.

1532946900342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136726 (or 136713 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 48.

The spelling of 1532946900342 in words is "one trillion, five hundred thirty-two billion, nine hundred forty-six million, nine hundred thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 169 286 338 429 507 858 1013 1014 1859 2026 3039 3718 5577 6078 11143 11154 13169 22286 26338 33429 39507 66858 79014 135671 144859 171197 271342 289718 342394 407013 434577 513591 814026 869154 1027182 1492381 1763723 1883167 2984762 3527446 3766334 4477143 5291169 5649501 8954286 10582338 11299002 19400953 22928399 38801906 45856798 58202859 68785197 116405718 137434723 137570394 252212389 274869446 412304169 504424778 756637167 824608338 1511781953 1513274334 1786651399 3023563906 3573302798 4535345859 5359954197 9070691718 10719908394 19653165389 23226468187 39306330778 46452936374 58959496167 69679404561 117918992334 139358809122 255491150057 510982300114 766473450171 1532946900342