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11046145203456 = 283114093196933
BaseRepresentation
bin1010000010111110000110…
…0011111001110100000000
31110010000000211222220011220
42200233201203321310000
52421440001133002311
635254310135235040
72220025530014226
oct240574143716400
943100024886156
1011046145203456
113579709aa42a0
1212a4997818a80
13621854681c7c
142a28c9d4cb16
1514250790c206
hexa0be18f9d00

11046145203456 has 144 divisors (see below), whose sum is σ = 32149902832320. Its totient is φ = 3339131535360.

The previous prime is 11046145203389. The next prime is 11046145203461. The reversal of 11046145203456 is 65430254164011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1856766 + ... + 5053698.

Almost surely, 211046145203456 is an apocalyptic number.

11046145203456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11046145203456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16074951416160).

11046145203456 is an abundant number, since it is smaller than the sum of its proper divisors (21103757628864).

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

11046145203456 is a wasteful number, since it uses less digits than its factorization.

11046145203456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3197372 (or 3197358 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

Adding to 11046145203456 its reverse (65430254164011), we get a palindrome (76476399367467).

The spelling of 11046145203456 in words is "eleven trillion, forty-six billion, one hundred forty-five million, two hundred three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 409 528 704 768 818 1056 1227 1408 1636 2112 2454 2816 3272 4224 4499 4908 6544 8448 8998 9816 13088 13497 17996 19632 26176 26994 35992 39264 52352 53988 71984 78528 104704 107976 143968 157056 215952 287936 314112 431904 575872 863808 1151744 1727616 3196933 3455232 6393866 9590799 12787732 19181598 25575464 35166263 38363196 51150928 70332526 76726392 102301856 105498789 140665052 153452784 204603712 210997578 281330104 306905568 409207424 421995156 562660208 613811136 818414848 843990312 1125320416 1227622272 1307545597 1687980624 2250640832 2455244544 2615091194 3375961248 3922636791 4501281664 5230182388 6751922496 7845273582 9002563328 10460364776 13503844992 14383001567 15690547164 20920729552 27007689984 28766003134 31381094328 41841459104 43149004701 57532006268 62762188656 83682918208 86298009402 115064012536 125524377312 167365836416 172596018804 230128025072 251048754624 334731672832 345192037608 460256050144 502097509248 690384075216 920512100288 1004195018496 1380768150432 1841024200576 2761536300864 3682048401152 5523072601728 11046145203456