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61113479480 = 235191392572251
BaseRepresentation
bin111000111010101001…
…011011000100111000
312211202002210102102222
4320322221123010320
52000130022320410
644024121543212
74262310001364
oct707251330470
9184662712388
1061113479480
1123a10a69739
12ba16944b08
1359bc34a3a1
142d5a7002a4
1518ca39c955
hexe3aa5b138

61113479480 has 128 divisors (see below), whose sum is σ = 146416032000. Its totient is φ = 22892544000.

The previous prime is 61113479447. The next prime is 61113479489. The reversal of 61113479480 is 8497431116.

61113479480 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 not an unprimeable number, because it can be changed into a prime (61113479489) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27148355 + ... + 27150605.

It is an arithmetic number, because the mean of its divisors is an integer number (1143875250).

Almost surely, 261113479480 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 61113479480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73208016000).

61113479480 is an abundant number, since it is smaller than the sum of its proper divisors (85302552520).

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

61113479480 is a wasteful number, since it uses less digits than its factorization.

61113479480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2677 (or 2673 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 44.

The spelling of 61113479480 in words is "sixty-one billion, one hundred thirteen million, four hundred seventy-nine thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 139 152 190 257 278 380 514 556 695 760 1028 1112 1285 1390 2056 2251 2570 2641 2780 4502 4883 5140 5282 5560 9004 9766 10280 10564 11255 13205 18008 19532 21128 22510 24415 26410 35723 39064 42769 45020 48830 52820 71446 85538 90040 97660 105640 142892 171076 178615 195320 213845 285784 312889 342152 357230 427690 578507 625778 678737 714460 855380 1157014 1251556 1357474 1428920 1564445 1710760 2314028 2503112 2714948 2892535 3128890 3393685 4628056 5429896 5785070 5944891 6257780 6787370 10991633 11570140 11889782 12515560 13574740 21983266 23140280 23779564 27149480 29724455 43966532 47559128 54958165 59448910 80412473 87933064 109916330 118897820 160824946 219832660 237795640 321649892 402062365 439665320 643299784 804124730 1527836987 1608249460 3055673974 3216498920 6111347948 7639184935 12222695896 15278369870 30556739740 61113479480