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21162155640 = 23352295031531
BaseRepresentation
bin10011101101010111…
…001101111001111000
32000121211022220002020
4103231113031321320
5321320002440030
613415522234440
71346263232523
oct235527157170
960554286066
1021162155640
118a7a53782a
1241271b5a20
131cc33ab7b2
14104a7a3bba
1583cccd510
hex4ed5cde78

21162155640 has 128 divisors (see below), whose sum is σ = 63932198400. Its totient is φ = 5603765760.

The previous prime is 21162155633. The next prime is 21162155659. The reversal of 21162155640 is 4655126112.

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, 13821675 + ... + 13823205.

It is an arithmetic number, because the mean of its divisors is an integer number (499470300).

Almost surely, 221162155640 is an apocalyptic number.

21162155640 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 21162155640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31966099200).

21162155640 is an abundant number, since it is smaller than the sum of its proper divisors (42770042760).

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

21162155640 is a wasteful number, since it uses less digits than its factorization.

21162155640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 21162155640 in words is "twenty-one billion, one hundred sixty-two million, one hundred fifty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 229 458 503 687 916 1006 1145 1374 1509 1531 1832 2012 2290 2515 2748 3018 3062 3435 4024 4580 4593 5030 5496 6036 6124 6870 7545 7655 9160 9186 10060 12072 12248 13740 15090 15310 18372 20120 22965 27480 30180 30620 36744 45930 60360 61240 91860 115187 183720 230374 345561 350599 460748 575935 691122 701198 770093 921496 1051797 1151870 1382244 1402396 1540186 1727805 1752995 2103594 2303740 2310279 2764488 2804792 3080372 3455610 3505990 3850465 4207188 4607480 4620558 5258985 6160744 6911220 7011980 7700930 8414376 9241116 10517970 11551395 13822440 14023960 15401860 18482232 21035940 23102790 30803720 42071880 46205580 92411160 176351297 352702594 529053891 705405188 881756485 1058107782 1410810376 1763512970 2116215564 2645269455 3527025940 4232431128 5290538910 7054051880 10581077820 21162155640