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8074220688752 = 2423433445711369
BaseRepresentation
bin111010101111110110100…
…0011100101010101110000
31001120212222022201001020112
41311133231003211111300
52024242000444020002
625101125031000452
71462225500315011
oct165375503452560
931525868631215
108074220688752
1126332920a2229
12aa4a08209128
1346751b5ac27a
141dcb19a55008
15e0067d90852
hex757ed0e5570

8074220688752 has 80 divisors (see below), whose sum is σ = 16366778084160. Its totient is φ = 3851462393856.

The previous prime is 8074220688739. The next prime is 8074220688757. The reversal of 8074220688752 is 2578860224708.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 8074220688691 and 8074220688700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8074220688757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 710190524 + ... + 710201892.

It is an arithmetic number, because the mean of its divisors is an integer number (204584726052).

Almost surely, 28074220688752 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 8074220688752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8183389042080).

8074220688752 is an abundant number, since it is smaller than the sum of its proper divisors (8292557395408).

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

8074220688752 is a wasteful number, since it uses less digits than its factorization.

8074220688752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16290 (or 16284 counting only the distinct ones).

The product of its (nonzero) digits is 24084480, while the sum is 59.

The spelling of 8074220688752 in words is "eight trillion, seventy-four billion, two hundred twenty million, six hundred eighty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 23 46 92 184 368 433 866 1732 3464 4457 6928 8914 9959 11369 17828 19918 22738 35656 39836 45476 71312 79672 90952 102511 159344 181904 205022 261487 410044 522974 820088 1045948 1640176 1929881 2091896 3859762 4183792 4922777 7719524 9845554 15439048 19691108 30878096 39382216 44387263 50671633 78764432 88774526 101343266 113223871 177549052 202686532 226447742 355098104 405373064 452895484 710196208 810746128 905790968 1165447559 1811581936 2330895118 4661790236 9323580472 18647160944 21940817089 43881634178 87763268356 175526536712 351053073424 504638793047 1009277586094 2018555172188 4037110344376 8074220688752