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56933412576 = 25331107178793
BaseRepresentation
bin110101000001011111…
…101110111011100000
312102221210021000122020
4311001133232323200
51413044423200301
642053240341440
74053602010405
oct650137567340
9172853230566
1056933412576
1122166477597
12b04aa74880
1354a4330511
142a814b62ac
151733409436
hexd417eeee0

56933412576 has 96 divisors (see below), whose sum is σ = 155713840128. Its totient is φ = 18193873920.

The previous prime is 56933412559. The next prime is 56933412583. The reversal of 56933412576 is 67521433965.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229036 + ... + 407828.

It is an arithmetic number, because the mean of its divisors is an integer number (1622019168).

Almost surely, 256933412576 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 56933412576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77856920064).

56933412576 is an abundant number, since it is smaller than the sum of its proper divisors (98780427552).

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

56933412576 is a wasteful number, since it uses less digits than its factorization.

56933412576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178944 (or 178936 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 51.

The spelling of 56933412576 in words is "fifty-six billion, nine hundred thirty-three million, four hundred twelve thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 107 124 186 214 248 321 372 428 496 642 744 856 992 1284 1488 1712 2568 2976 3317 3424 5136 6634 9951 10272 13268 19902 26536 39804 53072 79608 106144 159216 178793 318432 357586 536379 715172 1072758 1430344 2145516 2860688 4291032 5542583 5721376 8582064 11085166 16627749 17164128 19130851 22170332 33255498 38261702 44340664 57392553 66510996 76523404 88681328 114785106 133021992 153046808 177362656 229570212 266043984 306093616 459140424 532087968 593056381 612187232 918280848 1186112762 1779169143 1836561696 2372225524 3558338286 4744451048 7116676572 9488902096 14233353144 18977804192 28466706288 56933412576