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99780348352 = 2617293313003
BaseRepresentation
bin101110011101101011…
…1110100100111000000
3100112112212022212211111
41130323113310213000
53113322232121402
6113501035053104
710131435652456
oct1347327644700
9315485285744
1099780348352
1139353450613
12174082a1194
139542164759
144b87c049d6
1528decec9d7
hex173b5f49c0

99780348352 has 56 divisors (see below), whose sum is σ = 210364980336. Its totient is φ = 46795051008.

The previous prime is 99780348337. The next prime is 99780348361. The reversal of 99780348352 is 25384308799.

It is a super-2 number, since 2×997803483522 (a number of 23 digits) contains 22 as substring.

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, 162283 + ... + 475285.

It is an arithmetic number, because the mean of its divisors is an integer number (3756517506).

Almost surely, 299780348352 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 99780348352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105182490168).

99780348352 is an abundant number, since it is smaller than the sum of its proper divisors (110584631984).

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

99780348352 is a wasteful number, since it uses less digits than its factorization.

99780348352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313325 (or 313315 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 58.

The spelling of 99780348352 in words is "ninety-nine billion, seven hundred eighty million, three hundred forty-eight thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 293 544 586 1088 1172 2344 4688 4981 9376 9962 18752 19924 39848 79696 159392 313003 318784 626006 1252012 2504024 5008048 5321051 10016096 10642102 20032192 21284204 42568408 85136816 91709879 170273632 183419758 340547264 366839516 733679032 1467358064 1559067943 2934716128 3118135886 5869432256 6236271772 12472543544 24945087088 49890174176 99780348352