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13258245400 = 2352733472617
BaseRepresentation
bin11000101100100000…
…01100010100011000
31021012222201122112221
430112100030110120
5204123102323100
610031334113424
7646360140451
oct142620142430
937188648487
1013258245400
115693a30004
1226a01ab874
131333a4042a
148dab90128
15528e6401a
hex31640c518

13258245400 has 96 divisors (see below), whose sum is σ = 31349712240. Its totient is φ = 5213583360.

The previous prime is 13258245359. The next prime is 13258245443. The reversal of 13258245400 is 454285231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5064892 + ... + 5067508.

Almost surely, 213258245400 is an apocalyptic number.

13258245400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13258245400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15674856120).

13258245400 is an abundant number, since it is smaller than the sum of its proper divisors (18091466840).

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

13258245400 is a wasteful number, since it uses less digits than its factorization.

13258245400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3053 (or 3044 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The spelling of 13258245400 in words is "thirteen billion, two hundred fifty-eight million, two hundred forty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 292 347 365 584 694 730 1388 1460 1735 1825 2617 2776 2920 3470 3650 5234 6940 7300 8675 10468 13085 13880 14600 17350 20936 25331 26170 34700 50662 52340 65425 69400 101324 104680 126655 130850 191041 202648 253310 261700 382082 506620 523400 633275 764164 908099 955205 1013240 1266550 1528328 1816198 1910410 2533100 3632396 3820820 4540495 4776025 5066200 7264792 7641640 9080990 9552050 18161980 19104100 22702475 36323960 38208200 45404950 66291227 90809900 132582454 181619800 265164908 331456135 530329816 662912270 1325824540 1657280675 2651649080 3314561350 6629122700 13258245400