Search a number
-
+
155834436100 = 225274719124799
BaseRepresentation
bin1001000100100001110…
…1001100101000000100
3112220020100222120120111
42101020131030220010
510023122103423400
6155331144442404
714154502565020
oct2211035145004
9486210876514
10155834436100
11600a8527372
1226250779404
131190625a105
1477845c3380
1540c0e113ba
hex244874ca04

155834436100 has 144 divisors (see below), whose sum is σ = 396774604800. Its totient is φ = 52016284800.

The previous prime is 155834436059. The next prime is 155834436101. The reversal of 155834436100 is 1634438551.

It is not an unprimeable number, because it can be changed into a prime (155834436101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6271501 + ... + 6296299.

It is an arithmetic number, because the mean of its divisors is an integer number (2755379200).

Almost surely, 2155834436100 is an apocalyptic number.

155834436100 is a gapful number since it is divisible by the number (10) 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 155834436100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198387302400).

155834436100 is an abundant number, since it is smaller than the sum of its proper divisors (240940168700).

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

155834436100 is a wasteful number, since it uses less digits than its factorization.

155834436100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25058 (or 25051 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 155834436100 in words is "one hundred fifty-five billion, eight hundred thirty-four million, four hundred thirty-six thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 47 50 70 94 100 140 175 188 191 235 329 350 382 470 658 700 764 940 955 1175 1316 1337 1645 1910 2350 2674 3290 3820 4700 4775 5348 6580 6685 8225 8977 9550 13370 16450 17954 19100 24799 26740 32900 33425 35908 44885 49598 62839 66850 89770 99196 123995 125678 133700 173593 179540 224425 247990 251356 314195 347186 448850 495980 619975 628390 694372 867965 897700 1165553 1239950 1256780 1570975 1735930 2331106 2479900 3141950 3471860 4339825 4662212 4736609 5827765 6283900 8158871 8679650 9473218 11655530 16317742 17359300 18946436 23311060 23683045 29138825 32635484 33156263 40794355 47366090 58277650 66312526 81588710 94732180 116555300 118415225 132625052 163177420 165781315 203971775 222620623 236830450 331562630 407943550 445241246 473660900 663125260 815887100 828906575 890482492 1113103115 1558344361 1657813150 2226206230 3116688722 3315626300 4452412460 5565515575 6233377444 7791721805 11131031150 15583443610 22262062300 31166887220 38958609025 77917218050 155834436100