Search a number
-
+
61543504152 = 23321310725743
BaseRepresentation
bin111001010100010001…
…110101100100011000
312212212001221221101200
4321110101311210120
52002020114113102
644134522514200
74306051103544
oct712421654430
9185761857350
1061543504152
1124111781629
12bb16965960
135a5a471c60
142d9b87ca24
151902ee251c
hexe54475918

61543504152 has 144 divisors (see below), whose sum is σ = 181226703840. Its totient is φ = 18756220032.

The previous prime is 61543504129. The next prime is 61543504177. The reversal of 61543504152 is 25140534516.

61543504152 is a `hidden beast` number, since 6 + 154 + 350 + 4 + 152 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10713393 + ... + 10719135.

Almost surely, 261543504152 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 61543504152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90613351920).

61543504152 is an abundant number, since it is smaller than the sum of its proper divisors (119683199688).

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

61543504152 is a wasteful number, since it uses less digits than its factorization.

61543504152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5982 (or 5868 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 61543504152 in words is "sixty-one billion, five hundred forty-three million, five hundred four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 107 117 156 214 234 312 321 428 468 642 856 936 963 1284 1391 1926 2568 2782 3852 4173 5564 5743 7704 8346 11128 11449 11486 12519 16692 17229 22898 22972 25038 33384 34347 34458 45796 45944 50076 51687 68694 68916 74659 91592 100152 103041 103374 137388 137832 148837 149318 206082 206748 223977 274776 297674 298636 412164 413496 446511 447954 595348 597272 614501 671931 824328 893022 895908 1190696 1229002 1339533 1343862 1786044 1791816 1843503 2458004 2679066 2687724 3572088 3687006 4916008 5358132 5375448 5530509 7374012 7988513 10716264 11061018 14748024 15977026 22122036 23965539 31954052 44244072 47931078 63908104 65751607 71896617 95862156 131503214 143793234 191724312 197254821 263006428 287586468 394509642 526012856 575172936 591764463 789019284 854770891 1183528926 1578038568 1709541782 2367057852 2564312673 3419083564 4734115704 5128625346 6838167128 7692938019 10257250692 15385876038 20514501384 30771752076 61543504152