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172207543840 = 25517197332089
BaseRepresentation
bin1010000001100001011…
…1101001011000100000
3121110111102212121222021
42200120113221120200
510310140112400330
6211035553151224
715304314654013
oct2403027513040
9543442777867
10172207543840
116703a73a572
122945bb5b514
13133153ca347
148498d1937a
15472d55767a
hex28185e9620

172207543840 has 96 divisors (see below), whose sum is σ = 431003870640. Its totient is φ = 64796196864.

The previous prime is 172207543819. The next prime is 172207543853. The reversal of 172207543840 is 48345702271.

It can be written as a sum of positive squares in 8 ways, for example, as 22429255696 + 149778288144 = 149764^2 + 387012^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5350516 + ... + 5382604.

Almost surely, 2172207543840 is an apocalyptic number.

172207543840 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 172207543840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215501935320).

172207543840 is an abundant number, since it is smaller than the sum of its proper divisors (258796326800).

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

172207543840 is a wasteful number, since it uses less digits than its factorization.

172207543840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34094 (or 34086 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 43.

The spelling of 172207543840 in words is "one hundred seventy-two billion, two hundred seven million, five hundred forty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 1973 2720 3946 7892 9865 15784 19730 31568 32089 33541 39460 63136 64178 67082 78920 128356 134164 157840 160445 167705 256712 268328 315680 320890 335410 513424 536656 545513 641780 670820 1026848 1073312 1091026 1283560 1341640 2182052 2567120 2683280 2727565 4364104 5134240 5366560 5455130 8728208 10910260 17456416 21820520 43641040 63311597 87282080 126623194 253246388 316557985 506492776 633115970 1012985552 1076297149 1266231940 2025971104 2152594298 2532463880 4305188596 5064927760 5381485745 8610377192 10129855520 10762971490 17220754384 21525942980 34441508768 43051885960 86103771920 172207543840