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13490497488 = 24313109241823
BaseRepresentation
bin11001001000001100…
…01010011111010000
31021211011202021112010
430210012022133100
5210112031404423
610110352102520
7655210223316
oct144406123720
937734667463
1013490497488
1157a3041486
122745b34a40
13136cbaa7c0
1491d96a0b6
1553e53e693
hex32418a7d0

13490497488 has 160 divisors (see below), whose sum is σ = 38078951680. Its totient is φ = 4090798080.

The previous prime is 13490497459. The next prime is 13490497511. The reversal of 13490497488 is 88479409431.

It is a happy number.

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, 16391445 + ... + 16392267.

It is an arithmetic number, because the mean of its divisors is an integer number (237993448).

Almost surely, 213490497488 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 13490497488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19039475840).

13490497488 is an abundant number, since it is smaller than the sum of its proper divisors (24588454192).

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

13490497488 is a wasteful number, since it uses less digits than its factorization.

13490497488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 13490497488 in words is "thirteen billion, four hundred ninety million, four hundred ninety-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 109 156 208 218 241 312 327 436 482 624 654 723 823 872 964 1308 1417 1446 1646 1744 1928 2469 2616 2834 2892 3133 3292 3856 4251 4938 5232 5668 5784 6266 6584 8502 9399 9876 10699 11336 11568 12532 13168 17004 18798 19752 21398 22672 25064 26269 32097 34008 37596 39504 42796 50128 52538 64194 68016 75192 78807 85592 89707 105076 128388 150384 157614 171184 179414 198343 210152 256776 269121 315228 341497 358828 396686 420304 513552 538242 595029 630456 682994 717656 793372 1024491 1076484 1166191 1190058 1260912 1365988 1435312 1586744 2048982 2152968 2332382 2380116 2578459 2731976 3173488 3498573 4097964 4305936 4664764 4760232 5156918 5463952 6997146 7735377 8195928 9329528 9520464 10313836 13994292 15470754 16391856 18659056 20627672 21619387 27988584 30941508 41255344 43238774 55977168 61883016 64858161 86477548 123766032 129716322 172955096 259432644 281052031 345910192 518865288 562104062 843156093 1037730576 1124208124 1686312186 2248416248 3372624372 4496832496 6745248744 13490497488