Search a number
-
+
55948214272 = 2172941359
BaseRepresentation
bin110100000110110001…
…100000000000000000
312100102010102202122011
4310012301200000000
51404040220324042
641411404222304
74020306655216
oct640661400000
9170363382564
1055948214272
1121800343515
12aa14b3a994
1353781a6642
1429ca6dccb6
1516c6b9da17
hexd06c60000

55948214272 has 144 divisors (see below), whose sum is σ = 118908064800. Its totient is φ = 26277314560.

The previous prime is 55948214251. The next prime is 55948214291. The reversal of 55948214272 is 27241284955.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155844429 + ... + 155844787.

It is an arithmetic number, because the mean of its divisors is an integer number (825750450).

Almost surely, 255948214272 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 55948214272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59454032400).

55948214272 is an abundant number, since it is smaller than the sum of its proper divisors (62959850528).

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

55948214272 is an frugal number, since it uses more digits than its factorization.

55948214272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 431 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 49.

The spelling of 55948214272 in words is "fifty-five billion, nine hundred forty-eight million, two hundred fourteen thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 29 32 41 58 64 82 116 128 164 232 256 328 359 464 512 656 718 928 1024 1189 1312 1436 1856 2048 2378 2624 2872 3712 4096 4756 5248 5744 7424 8192 9512 10411 10496 11488 14719 14848 16384 19024 20822 20992 22976 29438 29696 32768 38048 41644 41984 45952 58876 59392 65536 76096 83288 83968 91904 117752 118784 131072 152192 166576 167936 183808 235504 237568 304384 333152 335872 367616 426851 471008 475136 608768 666304 671744 735232 853702 942016 950272 1217536 1332608 1343488 1470464 1707404 1884032 1900544 2435072 2665216 2686976 2940928 3414808 3768064 3801088 4870144 5330432 5373952 5881856 6829616 7536128 9740288 10660864 11763712 13659232 15072256 19480576 21321728 23527424 27318464 30144512 38961152 42643456 47054848 54636928 60289024 77922304 85286912 109273856 120578048 155844608 170573824 218547712 241156096 341147648 437095424 482312192 682295296 874190848 964624384 1364590592 1748381696 1929248768 3496763392 6993526784 13987053568 27974107136 55948214272