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2078377056 = 2535738183
BaseRepresentation
bin111101111100001…
…1000010001100000
312100211211111100000
41323320120101200
513224031031211
6542122500000
7102334625220
oct17370302140
95324744300
102078377056
1197720a498
124a0064600
13271789b12
1415a05c080
15c26e5656
hex7be18460

2078377056 has 144 divisors (see below), whose sum is σ = 7005083904. Its totient is φ = 593806464.

The previous prime is 2078377019. The next prime is 2078377057. The reversal of 2078377056 is 6507738702.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2078377057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35341 + ... + 73523.

It is an arithmetic number, because the mean of its divisors is an integer number (48646416).

Almost surely, 22078377056 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 2078377056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3502541952).

2078377056 is an abundant number, since it is smaller than the sum of its proper divisors (4926706848).

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

2078377056 is an equidigital number, since it uses as much as digits as its factorization.

2078377056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38215 (or 38195 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 2078377056 is about 45589.2208312447. The cubic root of 2078377056 is about 1276.1687718770.

The spelling of 2078377056 in words is "two billion, seventy-eight million, three hundred seventy-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 243 252 288 324 336 378 432 486 504 567 648 672 756 864 972 1008 1134 1296 1512 1701 1944 2016 2268 2592 3024 3402 3888 4536 6048 6804 7776 9072 13608 18144 27216 38183 54432 76366 114549 152732 229098 267281 305464 343647 458196 534562 610928 687294 801843 916392 1030941 1069124 1221856 1374588 1603686 1832784 2061882 2138248 2405529 2749176 3092823 3207372 3665568 4123764 4276496 4811058 5498352 6185646 6414744 7216587 8247528 8552992 9278469 9622116 10996704 12371292 12829488 14433174 16495056 18556938 19244232 21649761 24742584 25658976 28866348 32990112 37113876 38488464 43299522 49485168 57732696 64949283 74227752 76976928 86599044 98970336 115465392 129898566 148455504 173198088 230930784 259797132 296911008 346396176 519594264 692792352 1039188528 2078377056