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61404222460 = 2257372421761
BaseRepresentation
bin111001001011111110…
…100001001111111100
312212111100212200211111
4321023332201033330
52001223440104320
644113025331404
74302440164510
oct711376411774
9185440780744
1061404222460
11240500a0199
12ba98196b64
135a37656859
142d87184140
1518e5b7da5a
hexe4bfa13fc

61404222460 has 144 divisors (see below), whose sum is σ = 152020024128. Its totient is φ = 20408371200.

The previous prime is 61404222457. The next prime is 61404222461. The reversal of 61404222460 is 6422240416.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61404222461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80688480 + ... + 80689240.

It is an arithmetic number, because the mean of its divisors is an integer number (1055694612).

Almost surely, 261404222460 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 61404222460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76010012064).

61404222460 is an abundant number, since it is smaller than the sum of its proper divisors (90615801668).

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

61404222460 is a wasteful number, since it uses less digits than its factorization.

61404222460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 61404222460 its reverse (6422240416), we get a palindrome (67826462876).

The spelling of 61404222460 in words is "sixty-one billion, four hundred four million, two hundred twenty-two thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 185 259 370 421 518 740 761 842 1036 1295 1369 1522 1684 2105 2590 2738 2947 3044 3805 4210 5180 5327 5476 5894 6845 7610 8420 9583 10654 11788 13690 14735 15220 15577 19166 21308 26635 27380 28157 29470 31154 38332 47915 53270 56314 58940 62308 77885 95830 106540 109039 112628 140785 155770 191660 197099 218078 281570 311540 320381 394198 436156 545195 563140 576349 640762 788396 985495 1041809 1090390 1152698 1281524 1601905 1970990 2083618 2180780 2242667 2305396 2881745 3203810 3941980 4034443 4167236 4485334 5209045 5763490 6407620 7292663 8068886 8970668 10418090 11213335 11526980 11854097 14585326 16137772 20172215 20836180 22426670 23708194 29170652 36463315 40344430 44853340 47416388 59270485 72926630 80688860 82978679 118540970 145853260 165957358 237081940 331914716 414893395 438601589 829786790 877203178 1659573580 1754406356 2193007945 3070211123 4386015890 6140422246 8772031780 12280844492 15351055615 30702111230 61404222460