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20035353672 = 23331710750993
BaseRepresentation
bin10010101010001100…
…110011110001001000
31220201022001102101000
4102222030303301020
5312013022304142
613112031055000
71306331460555
oct225214636110
956638042330
1020035353672
118551486834
123a71971460
131b73b05679
14d80c89a2c
157c3e0114c
hex4aa333c48

20035353672 has 128 divisors (see below), whose sum is σ = 59479401600. Its totient is φ = 6226735104.

The previous prime is 20035353647. The next prime is 20035353703. The reversal of 20035353672 is 27635353002.

20035353672 is a `hidden beast` number, since 2 + 0 + 0 + 3 + 53 + 536 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 367408 + ... + 418400.

It is an arithmetic number, because the mean of its divisors is an integer number (464682825).

Almost surely, 220035353672 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 20035353672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29739700800).

20035353672 is an abundant number, since it is smaller than the sum of its proper divisors (39444047928).

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

20035353672 is a wasteful number, since it uses less digits than its factorization.

20035353672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51132 (or 51122 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 36.

The spelling of 20035353672 in words is "twenty billion, thirty-five million, three hundred fifty-three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 107 108 136 153 204 214 216 306 321 408 428 459 612 642 856 918 963 1224 1284 1819 1836 1926 2568 2889 3638 3672 3852 5457 5778 7276 7704 10914 11556 14552 16371 21828 23112 32742 43656 49113 50993 65484 98226 101986 130968 152979 196452 203972 305958 392904 407944 458937 611916 866881 917874 1223832 1376811 1733762 1835748 2600643 2753622 3467524 3671496 5201286 5456251 5507244 6935048 7801929 10402572 10912502 11014488 15603858 16368753 20805144 21825004 23405787 31207716 32737506 43650008 46811574 49106259 62415432 65475012 92756267 93623148 98212518 130950024 147318777 185512534 187246296 196425036 278268801 294637554 371025068 392850072 556537602 589275108 742050136 834806403 1113075204 1178550216 1669612806 2226150408 2504419209 3339225612 5008838418 6678451224 10017676836 20035353672