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950253924928 = 26711285767493
BaseRepresentation
bin11011101001111111000…
…11000011001001000000
310100211202211101222101011
431310333203003021000
5111032110001044203
62004312435250304
7125440115043130
oct15647743031100
93324684358334
10950253924928
11337000627460
121341ba149994
136b7bb013b69
1433dc7734ac0
1519ab932d76d
hexdd3f8c3240

950253924928 has 112 divisors (see below), whose sum is σ = 2351810611584. Its totient is φ = 370093731840.

The previous prime is 950253924859. The next prime is 950253924937. The reversal of 950253924928 is 829429352059.

It is a tau number, because it is divible by the number of its divisors (112).

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, 14045550 + ... + 14113042.

It is an arithmetic number, because the mean of its divisors is an integer number (20998309032).

Almost surely, 2950253924928 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 950253924928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175905305792).

950253924928 is an abundant number, since it is smaller than the sum of its proper divisors (1401556686656).

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

950253924928 is a wasteful number, since it uses less digits than its factorization.

950253924928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70380 (or 70370 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 58.

The spelling of 950253924928 in words is "nine hundred fifty billion, two hundred fifty-three million, nine hundred twenty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2464 2857 4928 5714 11428 19999 22856 31427 39998 45712 62854 67493 79996 91424 125708 134986 159992 182848 219989 251416 269972 319984 439978 472451 502832 539944 639968 742423 879956 944902 1005664 1079888 1279936 1484846 1759912 1889804 2011328 2159776 2969692 3519824 3779608 4319552 5196961 5939384 7039648 7559216 10393922 11878768 14079296 15118432 20787844 23757536 30236864 41575688 47515072 83151376 166302752 192827501 332605504 385655002 771310004 1349792507 1542620008 2121102511 2699585014 3085240016 4242205022 5399170028 6170480032 8484410044 10798340056 12340960064 14847717577 16968820088 21596680112 29695435154 33937640176 43193360224 59390870308 67875280352 86386720448 118781740616 135750560704 237563481232 475126962464 950253924928