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5948604144 = 243377326947
BaseRepresentation
bin1011000101001000…
…00111111011110000
3120100120100101211000
411202210013323300
544140320313034
62422135122000
7300261205140
oct54244077360
916316311730
105948604144
11258291737a
1211a0213300
1373a542212
14406070920
1524c384599
hex162907ef0

5948604144 has 160 divisors (see below), whose sum is σ = 19781987840. Its totient is φ = 1676256768.

The previous prime is 5948604083. The next prime is 5948604157. The reversal of 5948604144 is 4414068495.

It is a self number, because there is not a number n which added to its sum of digits gives 5948604144.

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, 207279 + ... + 234225.

It is an arithmetic number, because the mean of its divisors is an integer number (123637424).

Almost surely, 25948604144 is an apocalyptic number.

5948604144 is a gapful number since it is divisible by the number (54) 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 5948604144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9890993920).

5948604144 is an abundant number, since it is smaller than the sum of its proper divisors (13833383696).

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

5948604144 is a wasteful number, since it uses less digits than its factorization.

5948604144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27044 (or 27032 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 5948604144 is about 77127.1945814186. The cubic root of 5948604144 is about 1811.9172366917.

The spelling of 5948604144 in words is "five billion, nine hundred forty-eight million, six hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 73 84 108 112 126 144 146 168 189 216 219 252 292 336 378 432 438 504 511 584 657 756 876 1008 1022 1168 1314 1512 1533 1752 1971 2044 2628 3024 3066 3504 3942 4088 4599 5256 6132 7884 8176 9198 10512 12264 13797 15768 18396 24528 26947 27594 31536 36792 53894 55188 73584 80841 107788 110376 161682 188629 215576 220752 242523 323364 377258 431152 485046 565887 646728 727569 754516 970092 1131774 1293456 1455138 1509032 1697661 1940184 1967131 2263548 2910276 3018064 3395322 3880368 3934262 4527096 5092983 5820552 5901393 6790644 7868524 9054192 10185966 11641104 11802786 13581288 13769917 15737048 17704179 20371932 23605572 27162576 27539834 31474096 35408358 40743864 41309751 47211144 53112537 55079668 70816716 81487728 82619502 94422288 106225074 110159336 123929253 141633432 165239004 212450148 220318672 247858506 283266864 330478008 371787759 424900296 495717012 660956016 743575518 849800592 991434024 1487151036 1982868048 2974302072 5948604144