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607753090992 = 243372831209199
BaseRepresentation
bin10001101100000001110…
…10000011011110110000
32011002201100122212220110
420312000322003132300
534424134242402432
61143110425541320
761623455015565
oct10660072033660
92132640585813
10607753090992
11214823859613
1299953344840
1345406ca0b08
14215b5c3886c
1510c20844dcc
hex8d80e837b0

607753090992 has 80 divisors (see below), whose sum is σ = 1618161113600. Its totient is φ = 196412449536.

The previous prime is 607753090921. The next prime is 607753090993. The reversal of 607753090992 is 299090357706.

It is a super-2 number, since 2×6077530909922 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (607753090993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101992 + ... + 1107207.

It is an arithmetic number, because the mean of its divisors is an integer number (20227013920).

Almost surely, 2607753090992 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 607753090992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809080556800).

607753090992 is an abundant number, since it is smaller than the sum of its proper divisors (1010408022608).

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

607753090992 is a wasteful number, since it uses less digits than its factorization.

607753090992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209530 (or 1209524 counting only the distinct ones).

The product of its (nonzero) digits is 6429780, while the sum is 57.

The spelling of 607753090992 in words is "six hundred seven billion, seven hundred fifty-three million, ninety thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 283 296 444 566 592 849 888 1132 1698 1776 2264 3396 4528 6792 10471 13584 20942 31413 41884 62826 83768 125652 167536 251304 502608 1209199 2418398 3627597 4836796 7255194 9673592 14510388 19347184 29020776 44740363 58041552 89480726 134221089 178961452 268442178 342203317 357922904 536884356 684406634 715845808 1026609951 1073768712 1368813268 2053219902 2147537424 2737626536 4106439804 5475253072 8212879608 12661522729 16425759216 25323045458 37984568187 50646090916 75969136374 101292181832 151938272748 202584363664 303876545496 607753090992