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2780077145556 = 22323139376719237
BaseRepresentation
bin101000011101001001100…
…000101011110111010100
3100211202212100121201111210
4220131021200223313110
5331022044222124211
65525052205301420
7404565621560244
oct50351140536724
910752770551453
102780077145556
1198202a088117
1238a96a264870
13172210b07179
14987b0c91b24
154c4b21e19a6
hex2874982bdd4

2780077145556 has 96 divisors (see below), whose sum is σ = 6819744798720. Its totient is φ = 879745071744.

The previous prime is 2780077145543. The next prime is 2780077145567. The reversal of 2780077145556 is 6555417700872.

It is a junction number, because it is equal to n+sod(n) for n = 2780077145496 and 2780077145505.

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, 144507570 + ... + 144526806.

It is an arithmetic number, because the mean of its divisors is an integer number (71039008320).

Almost surely, 22780077145556 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 2780077145556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3409872399360).

2780077145556 is an abundant number, since it is smaller than the sum of its proper divisors (4039667653164).

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

2780077145556 is a wasteful number, since it uses less digits than its factorization.

2780077145556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23173 (or 23171 counting only the distinct ones).

The product of its (nonzero) digits is 16464000, while the sum is 57.

The spelling of 2780077145556 in words is "two trillion, seven hundred eighty billion, seventy-seven million, one hundred forty-five thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 139 276 278 417 556 834 1668 3197 3767 6394 7534 9591 11301 12788 15068 19182 19237 22602 38364 38474 45204 57711 76948 86641 115422 173282 230844 259923 346564 442451 519846 523613 884902 1039692 1047226 1327353 1570839 1769804 2094452 2654706 2673943 3141678 5309412 5347886 6283356 8021829 10695772 12043099 16043658 24086198 32087316 36129297 48172396 61500689 72258594 72465779 123001378 144517188 144931558 184502067 217397337 246002756 289863116 369004134 434794674 738008268 869589348 1666712917 3333425834 5000138751 6666851668 10000277502 10072743281 20000555004 20145486562 30218229843 40290973124 60436459686 120872919372 231673095463 463346190926 695019286389 926692381852 1390038572778 2780077145556