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26954163040 = 2557219180949
BaseRepresentation
bin11001000110100101…
…111110001101100000
32120120111000100112211
4121012211332031200
5420200231204130
620214345131504
71642643414500
oct310645761540
976514010484
1026954163040
1110481a16702
125282a89b94
1327073522cc
141439b0da00
15a7b52da2a
hex64697e360

26954163040 has 144 divisors (see below), whose sum is σ = 77974974000. Its totient is φ = 8754988032.

The previous prime is 26954163037. The next prime is 26954163073. The reversal of 26954163040 is 4036145962.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 26954162984 and 26954163002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58486 + ... + 239434.

It is an arithmetic number, because the mean of its divisors is an integer number (541492875).

Almost surely, 226954163040 is an apocalyptic number.

26954163040 is a gapful number since it is divisible by the number (20) 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 26954163040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38987487000).

26954163040 is an abundant number, since it is smaller than the sum of its proper divisors (51020810960).

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

26954163040 is a wasteful number, since it uses less digits than its factorization.

26954163040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180997 (or 180982 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 26954163040 in words is "twenty-six billion, nine hundred fifty-four million, one hundred sixty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 49 56 70 76 80 95 98 112 133 140 152 160 190 196 224 245 266 280 304 380 392 490 532 560 608 665 760 784 931 980 1064 1120 1330 1520 1568 1862 1960 2128 2660 3040 3724 3920 4256 4655 5320 7448 7840 9310 10640 14896 18620 21280 29792 37240 74480 148960 180949 361898 723796 904745 1266643 1447592 1809490 2533286 2895184 3438031 3618980 5066572 5790368 6333215 6876062 7237960 8866501 10133144 12666430 13752124 14475920 17190155 17733002 20266288 24066217 25332860 27504248 28951840 34380310 35466004 40532576 44332505 48132434 50665720 55008496 68760620 70932008 88665010 96264868 101331440 110016992 120331085 137521240 141864016 168463519 177330020 192529736 202662880 240662170 275042480 283728032 336927038 354660040 385059472 481324340 550084960 673854076 709320080 770118944 842317595 962648680 1347708152 1418640160 1684635190 1925297360 2695416304 3369270380 3850594720 5390832608 6738540760 13477081520 26954163040