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20298375072 = 2532297273343
BaseRepresentation
bin10010111001111000…
…001001111110100000
31221101121222021220100
4102321320021332200
5313032341000242
613154104342400
71316004225033
oct227170117640
957347867810
1020298375072
1186769a3698
123b25a74a00
131bb6456c31
14da7b9501a
157dc05854c
hex4b9e09fa0

20298375072 has 144 divisors (see below), whose sum is σ = 59813994240. Its totient is φ = 6521872896.

The previous prime is 20298375061. The next prime is 20298375131. The reversal of 20298375072 is 27057389202.

20298375072 is a `hidden beast` number, since 20 + 2 + 98 + 37 + 507 + 2 = 666.

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6070233 + ... + 6073575.

It is an arithmetic number, because the mean of its divisors is an integer number (415374960).

Almost surely, 220298375072 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 20298375072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29906997120).

20298375072 is an abundant number, since it is smaller than the sum of its proper divisors (39515619168).

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

20298375072 is a wasteful number, since it uses less digits than its factorization.

20298375072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4115 (or 4104 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 20298375072 in words is "twenty billion, two hundred ninety-eight million, three hundred seventy-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 727 928 1044 1392 1454 2088 2181 2784 2908 3343 4176 4362 5816 6543 6686 8352 8724 10029 11632 13086 13372 17448 20058 21083 23264 26172 26744 30087 34896 40116 42166 52344 53488 60174 63249 69792 80232 84332 96947 104688 106976 120348 126498 160464 168664 189747 193894 209376 240696 252996 290841 320928 337328 379494 387788 481392 505992 581682 674656 758988 775576 872523 962784 1011984 1163364 1517976 1551152 1745046 2023968 2326728 2430361 3035952 3102304 3490092 4653456 4860722 6071904 6980184 7291083 9306912 9721444 13960368 14582166 19442888 21873249 27920736 29164332 38885776 43746498 58328664 70480469 77771552 87492996 116657328 140960938 174985992 211441407 233314656 281921876 349971984 422882814 563843752 634324221 699943968 845765628 1127687504 1268648442 1691531256 2255375008 2537296884 3383062512 5074593768 6766125024 10149187536 20298375072