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91468777472 = 2114121632
BaseRepresentation
bin101010100101111110…
…1101100100000000000
322202002121122100000222
41111023331230200000
52444312001334342
6110004205202212
76415452531422
oct1251375544000
9282077570028
1091468777472
1135878816376
1215888860368
138819201c87
1445d9dd4812
1525a52a9ed2
hex154bf6c800

91468777472 has 108 divisors (see below), whose sum is σ = 188619627105. Its totient is φ = 44345180160.

The previous prime is 91468777427. The next prime is 91468777529. The reversal of 91468777472 is 27477786419.

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 2 ways, for example, as 65323181056 + 26145596416 = 255584^2 + 161696^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=213856.

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, 561158063 + ... + 561158225.

Almost surely, 291468777472 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 91468777472

91468777472 is an abundant number, since it is smaller than the sum of its proper divisors (97150849633).

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

91468777472 is an frugal number, since it uses more digits than its factorization.

91468777472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 206 counting only the distinct ones).

The product of its digits is 33191424, while the sum is 62.

The spelling of 91468777472 in words is "ninety-one billion, four hundred sixty-eight million, seven hundred seventy-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 41 64 82 128 163 164 256 326 328 512 652 656 1024 1304 1312 1681 2048 2608 2624 3362 5216 5248 6683 6724 10432 10496 13366 13448 20864 20992 26569 26732 26896 41728 41984 53138 53464 53792 83456 83968 106276 106928 107584 166912 212552 213856 215168 274003 333824 425104 427712 430336 548006 850208 855424 860672 1089329 1096012 1700416 1710848 1721344 2178658 2192024 3400832 3421696 3442688 4357316 4384048 6801664 6843392 8714632 8768096 13603328 13686784 17429264 17536192 27206656 34858528 35072384 44662489 54413312 69717056 70144768 89324978 139434112 140289536 178649956 278868224 280579072 357299912 557736448 561158144 714599824 1115472896 1429199648 2230945792 2858399296 5716798592 11433597184 22867194368 45734388736 91468777472