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219425642496 = 211333968201
BaseRepresentation
bin1100110001011011001…
…0011001100000000000
3202222101011001120101000
43030112302121200000
512043340431024441
6244445221012000
721565400121144
oct3142662314000
9688334046330
10219425642496
11850700669a5
1236639254000
13178cba089a8
14a897db7224
155a93a8a2b6
hex3316c99800

219425642496 has 96 divisors (see below), whose sum is σ = 649991487600. Its totient is φ = 73141862400.

The previous prime is 219425642407. The next prime is 219425642507. The reversal of 219425642496 is 694246524912.

It is a happy number.

219425642496 is a `hidden beast` number, since 2 + 1 + 94 + 2 + 5 + 64 + 2 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2194256424962 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1928805 + ... + 2039396.

Almost surely, 2219425642496 is an apocalyptic number.

It is an amenable number.

219425642496 is an abundant number, since it is smaller than the sum of its proper divisors (430565845104).

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

219425642496 is an equidigital number, since it uses as much as digits as its factorization.

219425642496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3968232 (or 3968206 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 219425642496 in words is "two hundred nineteen billion, four hundred twenty-five million, six hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4608 6144 6912 9216 13824 18432 27648 55296 3968201 7936402 11904603 15872804 23809206 31745608 35713809 47618412 63491216 71427618 95236824 107141427 126982432 142855236 190473648 214282854 253964864 285710472 380947296 428565708 507929728 571420944 761894592 857131416 1015859456 1142841888 1523789184 1714262832 2031718912 2285683776 3047578368 3428525664 4063437824 4571367552 6095156736 6857051328 8126875648 9142735104 12190313472 13714102656 18285470208 24380626944 27428205312 36570940416 54856410624 73141880832 109712821248 219425642496