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11037073152 = 283710120327
BaseRepresentation
bin10100100011101110…
…00101111100000000
31001111012012102001010
422101313011330000
5140100442320102
65023110440520
7540336400560
oct122167057400
931435172033
1011037073152
11475415a466
122180363140
13106b807c21
14769ba0da0
15448e63d6c
hex291dc5f00

11037073152 has 144 divisors (see below), whose sum is σ = 33905152512. Its totient is φ = 3122073600.

The previous prime is 11037073147. The next prime is 11037073169. The reversal of 11037073152 is 25137073011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 532813 + ... + 553139.

It is an arithmetic number, because the mean of its divisors is an integer number (235452448).

Almost surely, 211037073152 is an apocalyptic number.

11037073152 is a gapful number since it is divisible by the number (12) 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 11037073152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16952576256).

11037073152 is an abundant number, since it is smaller than the sum of its proper divisors (22868079360).

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

11037073152 is a wasteful number, since it uses less digits than its factorization.

11037073152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20454 (or 20440 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 30.

The spelling of 11037073152 in words is "eleven billion, thirty-seven million, seventy-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 101 112 128 168 192 202 224 256 303 336 384 404 448 606 672 707 768 808 896 1212 1344 1414 1616 1792 2121 2424 2688 2828 3232 4242 4848 5376 5656 6464 8484 9696 11312 12928 16968 19392 20327 22624 25856 33936 38784 40654 45248 60981 67872 77568 81308 90496 121962 135744 142289 162616 180992 243924 271488 284578 325232 426867 487848 542976 569156 650464 853734 975696 1138312 1300928 1707468 1951392 2053027 2276624 2601856 3414936 3902784 4106054 4553248 5203712 6159081 6829872 7805568 8212108 9106496 12318162 13659744 14371189 15611136 16424216 18212992 24636324 27319488 28742378 32848432 36425984 43113567 49272648 54638976 57484756 65696864 86227134 98545296 109277952 114969512 131393728 172454268 197090592 229939024 262787456 344908536 394181184 459878048 525574912 689817072 788362368 919756096 1379634144 1576724736 1839512192 2759268288 3679024384 5518536576 11037073152