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13496630624 = 2529531372003
BaseRepresentation
bin11001001000111011…
…00011110101100000
31021211121021212121022
430210131203311200
5210120114134444
610111131345012
7655313316221
oct144435436540
937747255538
1013496630624
1157a6550394
122747bb2168
131371247289
149206c5248
1553ed519ee
hex324763d60

13496630624 has 96 divisors (see below), whose sum is σ = 28224897120. Its totient is φ = 6342848512.

The previous prime is 13496630597. The next prime is 13496630629. The reversal of 13496630624 is 42603669431.

It is a Cunningham number, because it is equal to 1161752-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13496630629) 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, 6737207 + ... + 6739209.

It is an arithmetic number, because the mean of its divisors is an integer number (294009345).

Almost surely, 213496630624 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 13496630624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14112448560).

13496630624 is an abundant number, since it is smaller than the sum of its proper divisors (14728266496).

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

13496630624 is a wasteful number, since it uses less digits than its factorization.

13496630624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 44.

The spelling of 13496630624 in words is "thirteen billion, four hundred ninety-six million, six hundred thirty thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 29 32 53 58 106 116 137 212 232 274 424 464 548 848 928 1096 1537 1696 2003 2192 3074 3973 4006 4384 6148 7261 7946 8012 12296 14522 15892 16024 24592 29044 31784 32048 49184 58087 58088 63568 64096 106159 116174 116176 127136 210569 212318 232348 232352 274411 421138 424636 464696 548822 842276 849272 929392 1097644 1684552 1698544 1858784 2195288 3078611 3369104 3397088 4390576 6157222 6738208 7957919 8781152 12314444 14543783 15915838 24628888 29087566 31831676 49257776 58175132 63663352 98515552 116350264 127326704 232700528 254653408 421769707 465401056 843539414 1687078828 3374157656 6748315312 13496630624