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5419621152 = 2532112958991
BaseRepresentation
bin1010000110000100…
…01101101100100000
3111222200222021120100
411003002031230200
542044410334102
62253441142400
7251206006521
oct50302155440
914880867510
105419621152
112331264650
12107302aa00
13684a8002a
14395ad2848
1521abe3a1c
hex14308db20

5419621152 has 144 divisors (see below), whose sum is σ = 17393201280. Its totient is φ = 1585651200.

The previous prime is 5419621147. The next prime is 5419621153. The reversal of 5419621152 is 2511269145.

5419621152 is a `hidden beast` number, since 5 + 4 + 19 + 621 + 15 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (5419621153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62377 + ... + 121367.

It is an arithmetic number, because the mean of its divisors is an integer number (120786120).

Almost surely, 25419621152 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 5419621152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8696600640).

5419621152 is an abundant number, since it is smaller than the sum of its proper divisors (11973580128).

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

5419621152 is a wasteful number, since it uses less digits than its factorization.

5419621152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59047 (or 59036 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 5419621152 is about 73618.0762584842. The cubic root of 5419621152 is about 1756.5329854372.

The spelling of 5419621152 in words is "five billion, four hundred nineteen million, six hundred twenty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 29 32 33 36 44 48 58 66 72 87 88 96 99 116 132 144 174 176 198 232 261 264 288 319 348 352 396 464 522 528 638 696 792 928 957 1044 1056 1276 1392 1584 1914 2088 2552 2784 2871 3168 3828 4176 5104 5742 7656 8352 10208 11484 15312 22968 30624 45936 58991 91872 117982 176973 235964 353946 471928 530919 648901 707892 943856 1061838 1297802 1415784 1710739 1887712 1946703 2123676 2595604 2831568 3421478 3893406 4247352 5132217 5191208 5663136 5840109 6842956 7786812 8494704 10264434 10382416 11680218 13685912 15396651 15573624 16989408 18818129 20528868 20764832 23360436 27371824 30793302 31147248 37636258 41057736 46720872 54743648 56454387 61586604 62294496 75272516 82115472 93441744 112908774 123173208 150545032 164230944 169363161 186883488 225817548 246346416 301090064 338726322 451635096 492692832 602180128 677452644 903270192 1354905288 1806540384 2709810576 5419621152