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2793073681920 = 2935449809981
BaseRepresentation
bin101000101001010000001…
…010100010011000000000
3100220000102002220011202110
4220221100022202120000
5331230203330310140
65535041554215320
7405535653400644
oct50512012423000
910800362804673
102793073681920
11987599307265
12391396884540
13173502565482
1499284d98c24
154c9c31ac380
hex28a502a2600

2793073681920 has 160 divisors (see below), whose sum is σ = 8949005128800. Its totient is φ = 743159889920.

The previous prime is 2793073681919. The next prime is 2793073681927. The reversal of 2793073681920 is 291863703972.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2793073681927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3043330 + ... + 3853310.

It is an arithmetic number, because the mean of its divisors is an integer number (55931282055).

Almost surely, 22793073681920 is an apocalyptic number.

2793073681920 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 2793073681920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4474502564400).

2793073681920 is an abundant number, since it is smaller than the sum of its proper divisors (6155931446880).

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

2793073681920 is an equidigital number, since it uses as much as digits as its factorization.

2793073681920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810456 (or 810440 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 57.

The spelling of 2793073681920 in words is "two trillion, seven hundred ninety-three billion, seventy-three million, six hundred eighty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 449 480 512 640 768 898 960 1280 1347 1536 1796 1920 2245 2560 2694 3592 3840 4490 5388 6735 7184 7680 8980 10776 13470 14368 17960 21552 26940 28736 35920 43104 53880 57472 71840 86208 107760 114944 143680 172416 215520 229888 287360 344832 431040 574720 689664 809981 862080 1149440 1619962 1724160 2429943 3239924 3448320 4049905 4859886 6479848 8099810 9719772 12149715 12959696 16199620 19439544 24299430 25919392 32399240 38879088 48598860 51838784 64798480 77758176 97197720 103677568 129596960 155516352 194395440 207355136 259193920 311032704 363681469 388790880 414710272 518387840 622065408 727362938 777581760 1036775680 1091044407 1244130816 1454725876 1555163520 1818407345 2073551360 2182088814 2909451752 3110327040 3636814690 4364177628 5455222035 5818903504 6220654080 7273629380 8728355256 10910444070 11637807008 14547258760 17456710512 21820888140 23275614016 29094517520 34913421024 43641776280 46551228032 58189035040 69826842048 87283552560 93102456064 116378070080 139653684096 174567105120 186204912128 232756140160 279307368192 349134210240 465512280320 558614736384 698268420480 931024560640 1396536840960 2793073681920