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20127989907456 = 21431619252937
BaseRepresentation
bin1001001001110011010011…
…01100000100000000000000
32122021012212020001110200120
410210321221230010000000
510114234110404014311
6110450400530020240
74145125232211054
oct444715154040000
978235766043616
1020127989907456
116460261626962
122310b33117680
13b300a48b94a2
144d82b27a1c64
1524d8964e1706
hex124e69b04000

20127989907456 has 120 divisors (see below), whose sum is σ = 53706366010080. Its totient is φ = 6705159340032.

The previous prime is 20127989907437. The next prime is 20127989907629. The reversal of 20127989907456 is 65470998972102.

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, 79450620 + ... + 79703556.

It is an arithmetic number, because the mean of its divisors is an integer number (447553050084).

Almost surely, 220127989907456 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 20127989907456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26853183005040).

20127989907456 is an abundant number, since it is smaller than the sum of its proper divisors (33578376102624).

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

20127989907456 is an equidigital number, since it uses as much as digits as its factorization.

20127989907456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254587 (or 254561 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 69.

The spelling of 20127989907456 in words is "twenty trillion, one hundred twenty-seven billion, nine hundred eighty-nine million, nine hundred seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 1619 2048 3072 3238 4096 4857 6144 6476 8192 9714 12288 12952 16384 19428 24576 25904 38856 49152 51808 77712 103616 155424 207232 252937 310848 414464 505874 621696 758811 828928 1011748 1243392 1517622 1657856 2023496 2486784 3035244 3315712 4046992 4973568 6070488 6631424 8093984 9947136 12140976 13262848 16187968 19894272 24281952 26525696 32375936 39788544 48563904 64751872 79577088 97127808 129503744 194255616 259007488 388511232 409505003 518014976 777022464 819010006 1036029952 1228515009 1554044928 1638020012 2072059904 2457030018 3108089856 3276040024 4144119808 4914060036 6216179712 6552080048 9828120072 12432359424 13104160096 19656240144 26208320192 39312480288 52416640384 78624960576 104833280768 157249921152 209666561536 314499842304 419333123072 628999684608 838666246144 1257999369216 1677332492288 2515998738432 3354664984576 5031997476864 6709329969152 10063994953728 20127989907456