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1001226665472 = 29311193118853
BaseRepresentation
bin11101001000111011100…
…00100111111000000000
310112201100012121111011120
432210131300213320000
5112401003011243342
62043542430112240
7132223221144135
oct16443560477000
93481305544146
101001226665472
11356688394910
1214206494b680
13735524682b7
143666131858c
151b09e2bcaec
hexe91dc27e00

1001226665472 has 160 divisors (see below), whose sum is σ = 3062964136320. Its totient is φ = 287433400320.

The previous prime is 1001226665419. The next prime is 1001226665479. The reversal of 1001226665472 is 2745666221001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001226665479) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1238403 + ... + 1880450.

It is an arithmetic number, because the mean of its divisors is an integer number (19143525852).

Almost surely, 21001226665472 is an apocalyptic number.

1001226665472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001226665472 is an abundant number, since it is smaller than the sum of its proper divisors (2061737470848).

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

1001226665472 is a wasteful number, since it uses less digits than its factorization.

1001226665472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3118904 (or 3118888 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 1001226665472 in words is "one trillion, one billion, two hundred twenty-six million, six hundred sixty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 128 132 152 176 192 209 228 256 264 304 352 384 418 456 512 528 608 627 704 768 836 912 1056 1216 1254 1408 1536 1672 1824 2112 2432 2508 2816 3344 3648 4224 4864 5016 5632 6688 7296 8448 9728 10032 13376 14592 16896 20064 26752 29184 40128 53504 80256 107008 160512 321024 3118853 6237706 9356559 12475412 18713118 24950824 34307383 37426236 49901648 59258207 68614766 74852472 99803296 102922149 118516414 137229532 149704944 177774621 199606592 205844298 237032828 274459064 299409888 355549242 399213184 411688596 474065656 548918128 598819776 651840277 711098484 798426368 823377192 948131312 1097836256 1197639552 1303680554 1422196968 1596852736 1646754384 1896262624 1955520831 2195672512 2395279104 2607361108 2844393936 3293508768 3792525248 3911041662 4391345024 4790558208 5214722216 5688787872 6587017536 7585050496 7822083324 8782690048 10429444432 11377575744 13174035072 15170100992 15644166648 17565380096 20858888864 22755151488 26348070144 30340201984 31288333296 41717777728 45510302976 52696140288 62576666592 83435555456 91020605952 125153333184 166871110912 250306666368 333742221824 500613332736 1001226665472