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20723681461000 = 2353722313275901
BaseRepresentation
bin1001011011001000110111…
…01011000000001100001000
32201101011102222210202201211
410231210123223000030020
510204014044423223000
6112024154451222504
74236144100653520
oct455443353001410
981334388722654
1020723681461000
11666a955a12901
1223a847aba7a34
13b74308a5aa9b
14519062760680
1525e10ceac7ba
hex12d91bac0308

20723681461000 has 128 divisors (see below), whose sum is σ = 55669574338560. Its totient is φ = 7073399520000.

The previous prime is 20723681460953. The next prime is 20723681461001. The reversal of 20723681461000 is 16418632702.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (20723681461001) 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, 5076951 + ... + 8198950.

It is an arithmetic number, because the mean of its divisors is an integer number (434918549520).

Almost surely, 220723681461000 is an apocalyptic number.

20723681461000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20723681461000 is an abundant number, since it is smaller than the sum of its proper divisors (34945892877560).

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

20723681461000 is a wasteful number, since it uses less digits than its factorization.

20723681461000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13276152 (or 13276138 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 20723681461000 in words is "twenty trillion, seven hundred twenty-three billion, six hundred eighty-one million, four hundred sixty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 223 250 280 350 446 500 700 875 892 1000 1115 1400 1561 1750 1784 2230 3122 3500 4460 5575 6244 7000 7805 8920 11150 12488 15610 22300 27875 31220 39025 44600 55750 62440 78050 111500 156100 195125 223000 312200 390250 780500 1561000 13275901 26551802 53103604 66379505 92931307 106207208 132759010 185862614 265518020 331897525 371725228 464656535 531036040 663795050 743450456 929313070 1327590100 1659487625 1858626140 2323282675 2655180200 2960525923 3318975250 3717252280 4646565350 5921051846 6637950500 9293130700 11616413375 11842103692 13275901000 14802629615 18586261400 20723681461 23232826750 23684207384 29605259230 41447362922 46465653500 59210518460 74013148075 82894725844 92931307000 103618407305 118421036920 148026296150 165789451688 207236814610 296052592300 370065740375 414473629220 518092036525 592105184600 740131480750 828947258440 1036184073050 1480262961500 2072368146100 2590460182625 2960525923000 4144736292200 5180920365250 10361840730500 20723681461000