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42693477376 = 2101125872
BaseRepresentation
bin100111110000101110…
…101100010000000000
311002012101022100211211
4213300232230100000
51144414012234001
631340233215504
73040661366344
oct476056542000
9132171270754
1042693477376
111711939a500
128335b61594
1340450c4164
1420d01c3624
15119d1ce351
hex9f0bac400

42693477376 has 99 divisors (see below), whose sum is σ = 93969338407. Its totient is φ = 19373066240.

The previous prime is 42693477349. The next prime is 42693477383. The reversal of 42693477376 is 67377439624.

The square root of 42693477376 is 206624.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 42693477376.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 72731355 + ... + 72731941.

Almost surely, 242693477376 is an apocalyptic number.

42693477376 is the 206624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42693477376

42693477376 is an abundant number, since it is smaller than the sum of its proper divisors (51275861031).

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

42693477376 is an frugal number, since it uses more digits than its factorization.

42693477376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 600 counting only the distinct ones).

The product of its digits is 32006016, while the sum is 58.

The spelling of 42693477376 in words is "forty-two billion, six hundred ninety-three million, four hundred seventy-seven thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 587 704 968 1024 1174 1408 1936 2348 2816 3872 4696 5632 6457 7744 9392 11264 12914 15488 18784 25828 30976 37568 51656 61952 71027 75136 103312 123904 142054 150272 206624 284108 300544 344569 413248 568216 601088 689138 826496 1136432 1378276 1652992 2272864 2756552 3305984 3790259 4545728 5513104 6611968 7580518 9091456 11026208 15161036 18182912 22052416 30322072 36365824 41692849 44104832 60644144 72731648 83385698 88209664 121288288 166771396 176419328 242576576 333542792 352838656 485153152 667085584 970306304 1334171168 1940612608 2668342336 3881225216 5336684672 10673369344 21346738688 42693477376