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2780056078542 = 236103109169837
BaseRepresentation
bin101000011101001000010…
…000010100100011001110
3100211202210212222102000000
4220131020100110203032
5331022023324003132
65525050133545130
7404565244525341
oct50351020244316
910752725872000
102780056078542
119820191a9166
1238a9631a51a6
1317220963c192
14987ac16a458
154c4b042e87c
hex287484148ce

2780056078542 has 112 divisors (see below), whose sum is σ = 6370922294880. Its totient is φ = 909263900736.

The previous prime is 2780056078531. The next prime is 2780056078543. The reversal of 2780056078542 is 2458706500872.

2780056078542 is a `hidden beast` number, since 2 + 7 + 8 + 0 + 0 + 560 + 78 + 5 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2780056078543) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 16284048 + ... + 16453884.

Almost surely, 22780056078542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2780056078542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3185461147440).

2780056078542 is an abundant number, since it is smaller than the sum of its proper divisors (3590866216338).

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

2780056078542 is a wasteful number, since it uses less digits than its factorization.

2780056078542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170069 (or 170054 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 2780056078542 in words is "two trillion, seven hundred eighty billion, fifty-six million, seventy-eight thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 103 109 162 206 218 243 309 327 486 618 654 729 927 981 1458 1854 1962 2781 2943 5562 5886 8343 8829 11227 16686 17658 22454 25029 26487 33681 50058 52974 67362 75087 79461 101043 150174 158922 169837 202086 303129 339674 509511 606258 909387 1019022 1528533 1818774 2728161 3057066 4585599 5456322 8184483 9171198 13756797 16368966 17493211 18512233 27513594 34986422 37024466 41270391 52479633 55536699 82540782 104959266 111073398 123811173 157438899 166610097 247622346 314877798 333220194 472316697 499830291 944633394 999660582 1416950091 1499490873 1906759999 2833900182 2998981746 3813519998 4250850273 4498472619 5720279997 8501700546 8996945238 11440559994 12752550819 13495417857 17160839991 25505101638 26990835714 34321679982 51482519973 102965039946 154447559919 308895119838 463342679757 926685359514 1390028039271 2780056078542