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76341919744 = 21419431569
BaseRepresentation
bin100011100011001010…
…1010100000000000000
321022001101210100021001
41013012111110000000
52222322012412434
655023200141344
75341552416406
oct1070625240000
9238041710231
1076341919744
112a416029262
1212966907854
1372782ca79c
1439a2dcb476
151ebc288114
hex11c6554000

76341919744 has 120 divisors (see below), whose sum is σ = 161370921600. Its totient is φ = 36014653440.

The previous prime is 76341919721. The next prime is 76341919747. The reversal of 76341919744 is 44791914367.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76341919747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134168292 + ... + 134168860.

It is an arithmetic number, because the mean of its divisors is an integer number (1344757680).

Almost surely, 276341919744 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 76341919744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80685460800).

76341919744 is an abundant number, since it is smaller than the sum of its proper divisors (85029001856).

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

76341919744 is an equidigital number, since it uses as much as digits as its factorization.

76341919744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1021 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 55.

The spelling of 76341919744 in words is "seventy-six billion, three hundred forty-one million, nine hundred nineteen thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 431 512 569 608 862 1024 1138 1216 1724 2048 2276 2432 3448 4096 4552 4864 6896 8189 8192 9104 9728 10811 13792 16378 16384 18208 19456 21622 27584 32756 36416 38912 43244 55168 65512 72832 77824 86488 110336 131024 145664 155648 172976 220672 245239 262048 291328 311296 345952 441344 490478 524096 582656 691904 882688 980956 1048192 1165312 1383808 1765376 1961912 2096384 2330624 2767616 3530752 3923824 4192768 4659541 4661248 5535232 7061504 7847648 8385536 9319082 9322496 11070464 15695296 16771072 18638164 22140928 31390592 33542144 37276328 44281856 62781184 67084288 74552656 88563712 125562368 134168576 149105312 177127424 251124736 298210624 502249472 596421248 1004498944 1192842496 2008997888 2385684992 4017995776 4771369984 9542739968 19085479936 38170959872 76341919744