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172045590640 = 24571159473381
BaseRepresentation
bin1010000000111010110…
…1110110000001110000
3121110002011010112221121
42200032231312001300
510304322132400030
6211011530032024
715300310251160
oct2401655660160
9543064115847
10172045590640
1166a67283750
1229415878614
13132ba9a4851
1484815dc5a0
15471e21647a
hex280eb76070

172045590640 has 160 divisors (see below), whose sum is σ = 507162539520. Its totient is φ = 52715596800.

The previous prime is 172045590631. The next prime is 172045590697. The reversal of 172045590640 is 46095540271.

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, 126750 + ... + 600130.

It is an arithmetic number, because the mean of its divisors is an integer number (3169765872).

Almost surely, 2172045590640 is an apocalyptic number.

172045590640 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 172045590640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253581269760).

172045590640 is an abundant number, since it is smaller than the sum of its proper divisors (335116948880).

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

172045590640 is a wasteful number, since it uses less digits than its factorization.

172045590640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473471 (or 473465 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 43.

The spelling of 172045590640 in words is "one hundred seventy-two billion, forty-five million, five hundred ninety thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 59 70 77 80 88 110 112 118 140 154 176 220 236 280 295 308 385 413 440 472 560 590 616 649 770 826 880 944 1180 1232 1298 1540 1652 2065 2360 2596 3080 3245 3304 4130 4543 4720 5192 6160 6490 6608 8260 9086 10384 12980 16520 18172 22715 25960 33040 36344 45430 51920 72688 90860 181720 363440 473381 946762 1893524 2366905 3313667 3787048 4733810 5207191 6627334 7574096 9467620 10414382 13254668 16568335 18935240 20828764 26035955 26509336 27929479 33136670 36450337 37870480 41657528 52071910 53018672 55858958 66273340 72900674 83315056 104143820 111717916 132546680 139647395 145801348 182251685 195506353 208287640 223435832 265093360 279294790 291602696 307224269 364503370 391012706 416575280 446871664 558589580 583205392 614448538 729006740 782025412 977531765 1117179160 1228897076 1458013480 1536121345 1564050824 1955063530 2150569883 2234358320 2457794152 2916026960 3072242690 3128101648 3910127060 4301139766 4915588304 6144485380 7820254120 8602279532 10752849415 12288970760 15640508240 17204559064 21505698830 24577941520 34409118128 43011397660 86022795320 172045590640