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345732157056 = 27311136296113
BaseRepresentation
bin1010000011111110011…
…11100000111010000000
31020001101200001022110210
411001333033200322000
521131024413011211
6422454355554120
733656364563316
oct5017717407200
91201350038423
10345732157056
11123695875820
1257008bbb940
13267aa62ab80
1412a3ab1a0b6
158ed75229a6
hex507f3e0e80

345732157056 has 128 divisors (see below), whose sum is σ = 1078902095040. Its totient is φ = 96708280320.

The previous prime is 345732157049. The next prime is 345732157073. The reversal of 345732157056 is 650751237543.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 345732156996 and 345732157014.

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, 3093145 + ... + 3202968.

Almost surely, 2345732157056 is an apocalyptic number.

It is an amenable number.

345732157056 is an abundant number, since it is smaller than the sum of its proper divisors (733169937984).

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

345732157056 is a wasteful number, since it uses less digits than its factorization.

345732157056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6296154 (or 6296142 counting only the distinct ones).

The product of its (nonzero) digits is 2646000, while the sum is 48.

The spelling of 345732157056 in words is "three hundred forty-five billion, seven hundred thirty-two million, one hundred fifty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 264 286 312 352 384 416 429 528 572 624 704 832 858 1056 1144 1248 1408 1664 1716 2112 2288 2496 3432 4224 4576 4992 6864 9152 13728 18304 27456 54912 6296113 12592226 18888339 25184452 37776678 50368904 69257243 75553356 81849469 100737808 138514486 151106712 163698938 201475616 207771729 245548407 277028972 302213424 327397876 402951232 415543458 491096814 554057944 604426848 654795752 805902464 831086916 900344159 982193628 1108115888 1208853696 1309591504 1662173832 1800688318 1964387256 2216231776 2417707392 2619183008 2701032477 3324347664 3601376636 3928774512 4432463552 5238366016 5402064954 6648695328 7202753272 7857549024 8864927104 10476732032 10804129908 13297390656 14405506544 15715098048 21608259816 26594781312 28811013088 31430196096 43216519632 57622026176 86433039264 115244052352 172866078528 345732157056