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45771980448 = 25316319914699
BaseRepresentation
bin101010101000001110…
…001111111010100000
311101010221001112011010
4222220032033322200
51222220111333243
633005524220520
73210162262065
oct525016177240
9141127045133
1045771980448
11184590a9417
128a54b3a740
134415b335cc
142302dc2c6c
1512cd5cd433
hexaa838fea0

45771980448 has 96 divisors (see below), whose sum is σ = 121504320000. Its totient is φ = 15086497536.

The previous prime is 45771980431. The next prime is 45771980453. The reversal of 45771980448 is 84408917754.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3106603 + ... + 3121301.

It is an arithmetic number, because the mean of its divisors is an integer number (1265670000).

Almost surely, 245771980448 is an apocalyptic number.

45771980448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45771980448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60752160000).

45771980448 is an abundant number, since it is smaller than the sum of its proper divisors (75732339552).

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

45771980448 is a wasteful number, since it uses less digits than its factorization.

45771980448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15074 (or 15066 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 57.

The spelling of 45771980448 in words is "forty-five billion, seven hundred seventy-one million, nine hundred eighty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 163 199 326 398 489 597 652 796 978 1194 1304 1592 1956 2388 2608 3184 3912 4776 5216 6368 7824 9552 14699 15648 19104 29398 32437 44097 58796 64874 88194 97311 117592 129748 176388 194622 235184 259496 352776 389244 470368 518992 705552 778488 1037984 1411104 1556976 2395937 2925101 3113952 4791874 5850202 7187811 8775303 9583748 11700404 14375622 17550606 19167496 23400808 28751244 35101212 38334992 46801616 57502488 70202424 76669984 93603232 115004976 140404848 230009952 280809696 476791463 953582926 1430374389 1907165852 2860748778 3814331704 5721497556 7628663408 11442995112 15257326816 22885990224 45771980448