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61471004736 = 2637921119207
BaseRepresentation
bin111001001111111101…
…010001100001000000
312212200000112120220010
4321033331101201000
52001343034122421
644123412544520
74304210630151
oct711775214100
9185600476803
1061471004736
1124084863759
12bab6622140
135a484398ab
142d91da9928
1518eb971076
hexe4ff51840

61471004736 has 112 divisors (see below), whose sum is σ = 165489981440. Its totient is φ = 20134033920.

The previous prime is 61471004689. The next prime is 61471004753. The reversal of 61471004736 is 63740017416.

It is a junction number, because it is equal to n+sod(n) for n = 61471004694 and 61471004703.

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, 3190845 + ... + 3210051.

It is an arithmetic number, because the mean of its divisors is an integer number (1477589120).

Almost surely, 261471004736 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 61471004736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82744990720).

61471004736 is an abundant number, since it is smaller than the sum of its proper divisors (104018976704).

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

61471004736 is a wasteful number, since it uses less digits than its factorization.

61471004736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19512 (or 19502 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 61471004736 in words is "sixty-one billion, four hundred seventy-one million, four thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 158 192 211 237 316 422 474 632 633 844 948 1264 1266 1688 1896 2528 2532 3376 3792 5056 5064 6752 7584 10128 13504 15168 16669 19207 20256 33338 38414 40512 50007 57621 66676 76828 100014 115242 133352 153656 200028 230484 266704 307312 400056 460968 533408 614624 800112 921936 1066816 1229248 1517353 1600224 1843872 3034706 3200448 3687744 4052677 4552059 6069412 8105354 9104118 12138824 12158031 16210708 18208236 24277648 24316062 32421416 36416472 48555296 48632124 64842832 72832944 97110592 97264248 129685664 145665888 194528496 259371328 291331776 320161483 389056992 640322966 778113984 960484449 1280645932 1920968898 2561291864 3841937796 5122583728 7683875592 10245167456 15367751184 20490334912 30735502368 61471004736