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5421237984 = 253417123031
BaseRepresentation
bin1010000110010000…
…11000011011100000
3111222211000102110000
411003020120123200
542100314103414
62253535540000
7251225522361
oct50310303340
914884012400
105421237984
112332169378
12107368a600
136851c7c36
14395dd3b68
1521ae12b09
hex1432186e0

5421237984 has 120 divisors (see below), whose sum is σ = 16881712848. Its totient is φ = 1700766720.

The previous prime is 5421237959. The next prime is 5421238003. The reversal of 5421237984 is 4897321245.

5421237984 is a `hidden beast` number, since 542 + 1 + 23 + 7 + 9 + 84 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17452 + ... + 105579.

Almost surely, 25421237984 is an apocalyptic number.

5421237984 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5421237984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8440856424).

5421237984 is an abundant number, since it is smaller than the sum of its proper divisors (11460474864).

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

5421237984 is a wasteful number, since it uses less digits than its factorization.

5421237984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123070 (or 123053 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 5421237984 is about 73629.0566556438. The cubic root of 5421237984 is about 1756.7076431785.

The spelling of 5421237984 in words is "five billion, four hundred twenty-one million, two hundred thirty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 102 108 136 144 153 162 204 216 272 288 306 324 408 432 459 544 612 648 816 864 918 1224 1296 1377 1632 1836 2448 2592 2754 3672 4896 5508 7344 11016 14688 22032 44064 123031 246062 369093 492124 738186 984248 1107279 1476372 1968496 2091527 2214558 2952744 3321837 3936992 4183054 4429116 5905488 6274581 6643674 8366108 8858232 9965511 11810976 12549162 13287348 16732216 17716464 18823743 19931022 25098324 26574696 33464432 35432928 37647486 39862044 50196648 53149392 56471229 66928864 75294972 79724088 100393296 106298784 112942458 150589944 159448176 169413687 200786592 225884916 301179888 318896352 338827374 451769832 602359776 677654748 903539664 1355309496 1807079328 2710618992 5421237984