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620428990970880 = 21036571319127757
BaseRepresentation
bin1000110100010001101110000…
…1100111010111110000000000
310000100202102200010112222000000
42031010123201213113300000
51122310102033142032010
610035313051012000000
7244453341526344060
oct21504334147276000
93010672603488000
10620428990970880
1116a762503941943
1259703365900000
1320826283744c20
14ad2cccdab93a0
154badbadbae7c0
hex23446e19d7c00

620428990970880 has 4928 divisors, whose sum is σ = 2917537511669760. Its totient is φ = 122875009302528.

The previous prime is 620428990970809. The next prime is 620428990970903. The reversal of 620428990970880 is 88079099824026.

620428990970880 is a `hidden beast` number, since 6 + 20 + 428 + 9 + 90 + 97 + 0 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 620428990970799 and 620428990970808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 819589155462 + ... + 819589156218.

Almost surely, 2620428990970880 is an apocalyptic number.

620428990970880 is a gapful number since it is divisible by the number (60) 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 620428990970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458768755834880).

620428990970880 is an abundant number, since it is smaller than the sum of its proper divisors (2297108520698880).

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

620428990970880 is a wasteful number, since it uses less digits than its factorization.

620428990970880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 620428990970880 in words is "six hundred twenty trillion, four hundred twenty-eight billion, nine hundred ninety million, nine hundred seventy thousand, eight hundred eighty".