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21571090640 = 24511197731669
BaseRepresentation
bin10100000101101111…
…001011100011010000
32001200022210221102222
4110011233023203100
5323134144400030
613524251200212
71362360150041
oct240557134320
961608727388
1021571090640
11916a355740
124220146068
13205a02ac78
141088c128c8
15863b593e5
hex505bcb8d0

21571090640 has 160 divisors (see below), whose sum is σ = 57700771200. Its totient is φ = 7417128960.

The previous prime is 21571090571. The next prime is 21571090643. The reversal of 21571090640 is 4609017512.

It is a Cunningham number, because it is equal to 1468712-1.

It is a self number, because there is not a number n which added to its sum of digits gives 21571090640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21571090643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12923726 + ... + 12925394.

It is an arithmetic number, because the mean of its divisors is an integer number (360629820).

Almost surely, 221571090640 is an apocalyptic number.

21571090640 is a gapful number since it is divisible by the number (20) 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 21571090640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28850385600).

21571090640 is an abundant number, since it is smaller than the sum of its proper divisors (36129680560).

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

21571090640 is a wasteful number, since it uses less digits than its factorization.

21571090640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2485 (or 2479 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The spelling of 21571090640 in words is "twenty-one billion, five hundred seventy-one million, ninety thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 152 176 190 209 220 304 380 418 440 760 773 836 880 1045 1520 1546 1669 1672 2090 3092 3338 3344 3865 4180 6184 6676 7730 8345 8360 8503 12368 13352 14687 15460 16690 16720 17006 18359 26704 29374 30920 31711 33380 34012 36718 42515 58748 61840 63422 66760 68024 73435 73436 85030 91795 117496 126844 133520 136048 146870 146872 158555 161557 170060 183590 234992 253688 293740 293744 317110 323114 340120 348821 367180 507376 587480 634220 646228 680240 697642 734360 807785 1174960 1268440 1290137 1292456 1395284 1468720 1615570 1744105 2536880 2580274 2584912 2790568 3231140 3488210 5160548 5581136 6450685 6462280 6976420 10321096 12901370 12924560 13952840 14191507 20642192 24512603 25802740 27905680 28383014 49025206 51605480 56766028 70957535 98050412 103210960 113532056 122563015 141915070 196100824 227064112 245126030 269638633 283830140 392201648 490252060 539277266 567660280 980504120 1078554532 1135320560 1348193165 1961008240 2157109064 2696386330 4314218128 5392772660 10785545320 21571090640