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90450106368 = 211322376581
BaseRepresentation
bin101010000111100111…
…1110001100000000000
322122110121211110222120
41110033033301200000
52440220211400433
6105315135404240
76351303135006
oct1241717614000
9278417743876
1090450106368
11353a57aa726
1215643683680
1386b61584cb
1445409c6a76
152545b3b7b3
hex150f3f1800

90450106368 has 96 divisors (see below), whose sum is σ = 241285852080. Its totient is φ = 30131978240.

The previous prime is 90450106343. The next prime is 90450106387. The reversal of 90450106368 is 86360105409.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 13740838 + ... + 13747418.

Almost surely, 290450106368 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 90450106368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120642926040).

90450106368 is an abundant number, since it is smaller than the sum of its proper divisors (150835745712).

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

90450106368 is a wasteful number, since it uses less digits than its factorization.

90450106368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8843 (or 8823 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 90450106368 in words is "ninety billion, four hundred fifty million, one hundred six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 2237 3072 4474 6144 6581 6711 8948 13162 13422 17896 19743 26324 26844 35792 39486 52648 53688 71584 78972 105296 107376 143168 157944 210592 214752 286336 315888 421184 429504 572672 631776 842368 859008 1145344 1263552 1684736 1718016 2290688 2527104 3369472 3436032 4581376 5054208 6738944 6872064 10108416 13477888 13744128 14721697 20216832 29443394 40433664 44165091 58886788 88330182 117773576 176660364 235547152 353320728 471094304 706641456 942188608 1413282912 1884377216 2826565824 3768754432 5653131648 7537508864 11306263296 15075017728 22612526592 30150035456 45225053184 90450106368