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21975173911920 = 2435857106841569
BaseRepresentation
bin1001111111100011111100…
…11011110101010101110000
32212210210202122122102010010
410333301332123311111300
510340020124010140140
6114423131105534520
74425440203166265
oct477617633652560
985723678572103
1021975173911920
117002689866459
12256ab29344440
13c35333363658
1455d8658b526c
15281958595880
hex13fc7e6f5570

21975173911920 has 80 divisors (see below), whose sum is σ = 68202529892640. Its totient is φ = 5853208461312.

The previous prime is 21975173911903. The next prime is 21975173911939. The reversal of 21975173911920 is 2911937157912.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 53215105 + ... + 53626464.

It is an arithmetic number, because the mean of its divisors is an integer number (852531623658).

Almost surely, 221975173911920 is an apocalyptic number.

21975173911920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21975173911920 is an abundant number, since it is smaller than the sum of its proper divisors (46227355980720).

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

21975173911920 is a wasteful number, since it uses less digits than its factorization.

21975173911920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106842442 (or 106842436 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 57.

The spelling of 21975173911920 in words is "twenty-one trillion, nine hundred seventy-five billion, one hundred seventy-three million, nine hundred eleven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 857 1714 2571 3428 4285 5142 6856 8570 10284 12855 13712 17140 20568 25710 34280 41136 51420 68560 102840 205680 106841569 213683138 320524707 427366276 534207845 641049414 854732552 1068415690 1282098828 1602623535 1709465104 2136831380 2564197656 3205247070 4273662760 5128395312 6410494140 8547325520 12820988280 25641976560 91563224633 183126449266 274689673899 366252898532 457816123165 549379347798 732505797064 915632246330 1098758695596 1373448369495 1465011594128 1831264492660 2197517391192 2746896738990 3662528985320 4395034782384 5493793477980 7325057970640 10987586955960 21975173911920