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1980216398004 = 22313137577916033
BaseRepresentation
bin11100110100001110000…
…110000101000010110100
321000022021200111201222020
4130310032012011002310
5224420440344214004
64113410541433140
7263031415443105
oct34641606050264
97008250451866
101980216398004
116a3894594899
1227b94256b7b0
1311496c9657c0
146bbb32183ac
153679b2598d9
hex1cd0e1850b4

1980216398004 has 96 divisors (see below), whose sum is σ = 5013429025920. Its totient is φ = 604707545088.

The previous prime is 1980216397997. The next prime is 1980216398011. The reversal of 1980216398004 is 4008936120891.

It is an interprime number because it is at equal distance from previous prime (1980216397997) and next prime (1980216398011).

It is a super-2 number, since 2×19802163980042 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123500772 + ... + 123516804.

It is an arithmetic number, because the mean of its divisors is an integer number (52223219020).

Almost surely, 21980216398004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1980216398004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506714512960).

1980216398004 is an abundant number, since it is smaller than the sum of its proper divisors (3033212627916).

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

1980216398004 is a wasteful number, since it uses less digits than its factorization.

1980216398004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21969 (or 21967 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The spelling of 1980216398004 in words is "one trillion, nine hundred eighty billion, two hundred sixteen million, three hundred ninety-eight thousand, four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 137 156 274 411 548 822 1644 1781 3562 5343 5779 7124 10686 11558 16033 17337 21372 23116 32066 34674 48099 64132 69348 75127 96198 150254 192396 208429 225381 300508 416858 450762 625287 791723 833716 901524 1250574 1583446 2196521 2375169 2501148 3166892 4393042 4750338 6589563 8786084 9500676 10292399 13179126 20584798 26358252 28554773 30877197 41169596 57109546 61754394 85664319 92654707 114219092 123508788 171328638 185309414 277964121 342657276 370618828 555928242 1111856484 1204511191 2409022382 3613533573 4818044764 7227067146 12693694859 14454134292 25387389718 38081084577 50774779436 76162169154 152324338308 165018033167 330036066334 495054099501 660072132668 990108199002 1980216398004