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45517563376 = 24173131717029
BaseRepresentation
bin101010011001000011…
…101110010111110000
311100111012022210112121
4222121003232113300
51221204444012001
632524355204024
73200652622255
oct523103562760
9140435283477
1045517563376
111833852907a
1289a38a6614
1343a520556c
1422bb2b742c
1512b60c56a1
hexa990ee5f0

45517563376 has 80 divisors (see below), whose sum is σ = 96699882240. Its totient is φ = 20662456320.

The previous prime is 45517563353. The next prime is 45517563391. The reversal of 45517563376 is 67336571554.

It is a happy number.

45517563376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2664430 + ... + 2681458.

It is an arithmetic number, because the mean of its divisors is an integer number (1208748528).

Almost surely, 245517563376 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 45517563376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48349941120).

45517563376 is an abundant number, since it is smaller than the sum of its proper divisors (51182318864).

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

45517563376 is a wasteful number, since it uses less digits than its factorization.

45517563376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17402 (or 17396 counting only the distinct ones).

The product of its digits is 7938000, while the sum is 52.

The spelling of 45517563376 in words is "forty-five billion, five hundred seventeen million, five hundred sixty-three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 17 31 34 62 68 124 136 248 272 317 496 527 634 1054 1268 2108 2536 4216 5072 5389 8432 9827 10778 17029 19654 21556 34058 39308 43112 68116 78616 86224 136232 157232 167059 272464 289493 334118 527899 578986 668236 1055798 1157972 1336472 2111596 2315944 2672944 4223192 4631888 5398193 8446384 8974283 10796386 17948566 21592772 35897132 43185544 71794264 86371088 91769281 143588528 167343983 183538562 334687966 367077124 669375932 734154248 1338751864 1468308496 2677503728 2844847711 5689695422 11379390844 22758781688 45517563376