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21375055342160 = 2451397271781867
BaseRepresentation
bin1001101110000110001001…
…00101001010101001010000
32210200102202100200101111022
410313003010211022221100
510300202103131422120
6113243322002135012
74334203540414652
oct467030445125120
983612670611438
1021375055342160
1168a1123548723
122492766951468
13bc0874c90230
1453c7b59a86d2
15271033106025
hex1370c494aa50

21375055342160 has 160 divisors (see below), whose sum is σ = 54271196754432. Its totient is φ = 7782131220480.

The previous prime is 21375055342087. The next prime is 21375055342163. The reversal of 21375055342160 is 6124355057312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21375055342163) 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, 26947547 + ... + 27729413.

Almost surely, 221375055342160 is an apocalyptic number.

21375055342160 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 21375055342160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27135598377216).

21375055342160 is an abundant number, since it is smaller than the sum of its proper divisors (32896141412272).

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

21375055342160 is a wasteful number, since it uses less digits than its factorization.

21375055342160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782261 (or 782255 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 44.

The spelling of 21375055342160 in words is "twenty-one trillion, three hundred seventy-five billion, fifty-five million, three hundred forty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 97 104 130 194 208 260 271 388 485 520 542 776 970 1040 1084 1261 1355 1552 1940 2168 2522 2710 3523 3880 4336 5044 5420 6305 7046 7760 10088 10840 12610 14092 17615 20176 21680 25220 26287 28184 35230 50440 52574 56368 70460 100880 105148 131435 140920 210296 262870 281840 341731 420592 525740 683462 781867 1051480 1366924 1563734 1708655 2102960 2733848 3127468 3417310 3909335 5467696 6254936 6834620 7818670 10164271 12509872 13669240 15637340 20328542 27338480 31274680 40657084 50821355 62549360 75841099 81314168 101642710 151682198 162628336 203285420 211885957 303364396 379205495 406570840 423771914 606728792 758410990 813141680 847543828 985934287 1059429785 1213457584 1516821980 1695087656 1971868574 2118859570 2754517441 3033643960 3390175312 3943737148 4237719140 4929671435 5509034882 6067287920 7887474296 8475438280 9859342870 11018069764 13772587205 15774948592 16950876560 19718685740 20552937829 22036139528 27545174410 39437371480 41105875658 44072279056 55090348820 78874742960 82211751316 102764689145 110180697640 164423502632 205529378290 220361395280 267188191777 328847005264 411058756580 534376383554 822117513160 1068752767108 1335940958885 1644235026320 2137505534216 2671881917770 4275011068432 5343763835540 10687527671080 21375055342160