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90322700288 = 2112922292
BaseRepresentation
bin101010000011110100…
…1110000100000000000
322122010202002120200212
41110013221300200000
52434440102402123
6105254344533252
76345165166502
oct1240751604000
9278122076625
1090322700288
113533a89a647
1215608a81228
13869593a5b2
14452baddd72
152539871878
hex1507a70800

90322700288 has 108 divisors (see below), whose sum is σ = 187864025895. Its totient is φ = 43413651456.

The previous prime is 90322700243. The next prime is 90322700311. The reversal of 90322700288 is 88200722309.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 85189264384 + 5133435904 = 291872^2 + 71648^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=212512.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 394422158 + ... + 394422386.

Almost surely, 290322700288 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 90322700288

90322700288 is an abundant number, since it is smaller than the sum of its proper divisors (97541325607).

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

90322700288 is an frugal number, since it uses more digits than its factorization.

90322700288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The spelling of 90322700288 in words is "ninety billion, three hundred twenty-two million, seven hundred thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 229 232 256 458 464 512 841 916 928 1024 1682 1832 1856 2048 3364 3664 3712 6641 6728 7328 7424 13282 13456 14656 14848 26564 26912 29312 29696 52441 53128 53824 58624 59392 104882 106256 107648 117248 192589 209764 212512 215296 234496 385178 419528 425024 430592 468992 770356 839056 850048 861184 1520789 1540712 1678112 1700096 1722368 3041578 3081424 3356224 3400192 6083156 6162848 6712448 6800384 12166312 12325696 13424896 13600768 24332624 24651392 26849792 44102881 48665248 49302784 53699584 88205762 97330496 98605568 107399168 176411524 194660992 197211136 352823048 389321984 394422272 705646096 778643968 1411292192 1557287936 2822584384 3114575872 5645168768 11290337536 22580675072 45161350144 90322700288