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1955105152 = 277111315259
BaseRepresentation
bin111010010001000…
…1000100110000000
312001020212122001221
41310202020212000
513001001331102
6522000404424
766310056010
oct16442104600
95036778057
101955105152
11913673490
12466916714
13252088870
1414792dc40
15b6995637
hex74888980

1955105152 has 128 divisors (see below), whose sum is σ = 5229907200. Its totient is φ = 703088640.

The previous prime is 1955105147. The next prime is 1955105153. The reversal of 1955105152 is 2515015591.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1955105153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120499 + ... + 135757.

It is an arithmetic number, because the mean of its divisors is an integer number (40858650).

Almost surely, 21955105152 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 1955105152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2614953600).

1955105152 is an abundant number, since it is smaller than the sum of its proper divisors (3274802048).

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

1955105152 is a wasteful number, since it uses less digits than its factorization.

1955105152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15304 (or 15292 counting only the distinct ones).

The product of its (nonzero) digits is 11250, while the sum is 34.

The square root of 1955105152 is about 44216.5710113301. The cubic root of 1955105152 is about 1250.4222897477.

The spelling of 1955105152 in words is "one billion, nine hundred fifty-five million, one hundred five thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 64 77 88 91 104 112 128 143 154 176 182 208 224 286 308 352 364 416 448 572 616 704 728 832 896 1001 1144 1232 1408 1456 1664 2002 2288 2464 2912 4004 4576 4928 5824 8008 9152 9856 11648 15259 16016 18304 30518 32032 61036 64064 106813 122072 128128 167849 198367 213626 244144 335698 396734 427252 488288 671396 793468 854504 976576 1174943 1342792 1388569 1586936 1709008 1953152 2182037 2349886 2685584 2777138 3173872 3418016 4364074 4699772 5371168 5554276 6347744 6836032 8728148 9399544 10742336 11108552 12695488 13672064 15274259 17456296 18799088 21484672 22217104 25390976 30548518 34912592 37598176 44434208 61097036 69825184 75196352 88868416 122194072 139650368 150392704 177736832 244388144 279300736 488776288 977552576 1955105152