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8461916472 = 2334773102763
BaseRepresentation
bin1111110000101111…
…01001100100111000
3210211201120220011210
413320113221210320
5114312222311342
63515400123120
7416460050262
oct77027514470
923751526153
108461916472
1136525930a9
121781a664a0
13a4b152a89
145a3b88b32
15347d3e79c
hex1f85e9938

8461916472 has 64 divisors (see below), whose sum is σ = 21901063680. Its totient is φ = 2722781952.

The previous prime is 8461916443. The next prime is 8461916479. The reversal of 8461916472 is 2746191648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8461916479) 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, 30963 + ... + 133725.

It is an arithmetic number, because the mean of its divisors is an integer number (342204120).

Almost surely, 28461916472 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 8461916472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10950531840).

8461916472 is an abundant number, since it is smaller than the sum of its proper divisors (13439147208).

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

8461916472 is a wasteful number, since it uses less digits than its factorization.

8461916472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102892 (or 102888 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 8461916472 is about 91988.6757813156. The cubic root of 8461916472 is about 2037.7750694509.

The spelling of 8461916472 in words is "eight billion, four hundred sixty-one million, nine hundred sixteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 47 73 94 141 146 188 219 282 292 376 438 564 584 876 1128 1752 3431 6862 10293 13724 20586 27448 41172 82344 102763 205526 308289 411052 616578 822104 1233156 2466312 4829861 7501699 9659722 14489583 15003398 19319444 22505097 28979166 30006796 38638888 45010194 57958332 60013592 90020388 115916664 180040776 352579853 705159706 1057739559 1410319412 2115479118 2820638824 4230958236 8461916472