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75121199384 = 237111933119391
BaseRepresentation
bin100010111110110010…
…0101000100100011000
321011220022210022201212
41011331210220210120
52212322011340014
654302112002252
75266400442050
oct1057544504430
9234808708655
1075121199384
1129949a5aa60
1212685b30388
13711243004a
1438c8c26560
151e4a00823e
hex117d928918

75121199384 has 128 divisors (see below), whose sum is σ = 185418547200. Its totient is φ = 27642384000.

The previous prime is 75121199357. The next prime is 75121199429. The reversal of 75121199384 is 48399112157.

It is a congruent number.

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, 3864329 + ... + 3883719.

It is an arithmetic number, because the mean of its divisors is an integer number (1448582400).

Almost surely, 275121199384 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 75121199384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92709273600).

75121199384 is an abundant number, since it is smaller than the sum of its proper divisors (110297347816).

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

75121199384 is a wasteful number, since it uses less digits than its factorization.

75121199384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19765 (or 19761 counting only the distinct ones).

The product of its digits is 544320, while the sum is 50.

The spelling of 75121199384 in words is "seventy-five billion, one hundred twenty-one million, one hundred ninety-nine thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 11 14 19 22 28 38 44 56 76 77 88 133 152 154 209 266 308 331 418 532 616 662 836 1064 1324 1463 1672 2317 2648 2926 3641 4634 5852 6289 7282 9268 11704 12578 14564 18536 19391 25156 25487 29128 38782 44023 50312 50974 69179 77564 88046 101948 135737 138358 155128 176092 203896 213301 271474 276716 352184 368429 426602 484253 542948 553432 736858 853204 968506 1085896 1473716 1493107 1706408 1937012 2579003 2947432 2986214 3874024 4052719 5158006 5972428 6418421 8105438 10316012 11944856 12836842 16210876 20632024 25673684 28369033 32421752 44928947 51347368 56738066 70602631 89857894 113476132 121949999 141205262 179715788 226952264 243899998 282410524 359431576 487799996 494218417 564821048 853649993 975599992 988436834 1341449989 1707299986 1976873668 2682899978 3414599972 3953747336 5365799956 6829199944 9390149923 10731599912 18780299846 37560599692 75121199384