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89048265408 = 2633373138157
BaseRepresentation
bin101001011101110110…
…0001011001011000000
322111211221000120201000
41102323230023023000
52424332323443113
6104524101212000
76301461524064
oct1227354131300
9274757016630
1089048265408
1134846473883
1215312101000
1385218b3b0b
14444a755aa4
1524b2a31373
hex14bbb0b2c0

89048265408 has 112 divisors (see below), whose sum is σ = 262489147360. Its totient is φ = 29602962432.

The previous prime is 89048265401. The next prime is 89048265413. The reversal of 89048265408 is 80456284098.

89048265408 is a `hidden beast` number, since 8 + 90 + 4 + 8 + 2 + 6 + 540 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (89048265401) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 575466 + ... + 713622.

Almost surely, 289048265408 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 89048265408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131244573680).

89048265408 is an abundant number, since it is smaller than the sum of its proper divisors (173440881952).

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

89048265408 is a wasteful number, since it uses less digits than its factorization.

89048265408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138551 (or 138535 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 89048265408 in words is "eighty-nine billion, forty-eight million, two hundred sixty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 373 432 576 746 864 1119 1492 1728 2238 2984 3357 4476 5968 6714 8952 10071 11936 13428 17904 20142 23872 26856 35808 40284 53712 71616 80568 107424 138157 161136 214848 276314 322272 414471 552628 644544 828942 1105256 1243413 1657884 2210512 2486826 3315768 3730239 4421024 4973652 6631536 7460478 8842048 9947304 13263072 14920956 19894608 26526144 29841912 39789216 51532561 59683824 79578432 103065122 119367648 154597683 206130244 238735296 309195366 412260488 463793049 618390732 824520976 927586098 1236781464 1391379147 1649041952 1855172196 2473562928 2782758294 3298083904 3710344392 4947125856 5565516588 7420688784 9894251712 11131033176 14841377568 22262066352 29682755136 44524132704 89048265408