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661663464 = 23373117307
BaseRepresentation
bin100111011100000…
…010111011101000
31201010000222122020
4213130002323220
52323341212324
6145353424440
722253022000
oct4734027350
91633028566
10661663464
1130a545610
1216570b120
13a7108a57
1463c39000
153d14d679
hex27702ee8

661663464 has 128 divisors (see below), whose sum is σ = 2104704000. Its totient is φ = 171837120.

The previous prime is 661663447. The next prime is 661663493. The reversal of 661663464 is 464366166.

661663464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86899 + ... + 94205.

It is an arithmetic number, because the mean of its divisors is an integer number (16443000).

Almost surely, 2661663464 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 661663464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052352000).

661663464 is an abundant number, since it is smaller than the sum of its proper divisors (1443040536).

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

661663464 is a wasteful number, since it uses less digits than its factorization.

661663464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7348 (or 7330 counting only the distinct ones).

The product of its digits is 373248, while the sum is 42.

The square root of 661663464 is about 25722.8199076229. The cubic root of 661663464 is about 871.3896248984.

The spelling of 661663464 in words is "six hundred sixty-one million, six hundred sixty-three thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 132 147 154 168 196 231 264 294 308 343 392 462 539 588 616 686 924 1029 1078 1176 1372 1617 1848 2058 2156 2744 3234 3773 4116 4312 6468 7307 7546 8232 11319 12936 14614 15092 21921 22638 29228 30184 43842 45276 51149 58456 80377 87684 90552 102298 153447 160754 175368 204596 241131 306894 321508 358043 409192 482262 562639 613788 643016 716086 964524 1074129 1125278 1227576 1432172 1687917 1929048 2148258 2250556 2506301 2864344 3375834 3938473 4296516 4501112 5012602 6751668 7518903 7876946 8593032 10025204 11815419 13503336 15037806 15753892 20050408 23630838 27569311 30075612 31507784 47261676 55138622 60151224 82707933 94523352 110277244 165415866 220554488 330831732 661663464