Search a number
-
+
67621436900 = 22521162158189
BaseRepresentation
bin111110111110100011…
…010011110111100100
320110112122122220200222
4332332203103313210
52101442041440100
651022002023512
74612502505233
oct767643236744
9213478586628
1067621436900
11267505a1446
1211132347b98
1364b8726174
1433b6b76b1a
151b5b8c1485
hexfbe8d3de4

67621436900 has 36 divisors (see below), whose sum is σ = 146753667060. Its totient is φ = 27045782400.

The previous prime is 67621436849. The next prime is 67621436917. The reversal of 67621436900 is 963412676.

It can be written as a sum of positive squares in 6 ways, for example, as 23671668736 + 43949768164 = 153856^2 + 209642^2 .

It is a super-2 number, since 2×676214369002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1133006 + ... + 1191194.

Almost surely, 267621436900 is an apocalyptic number.

It is an amenable number.

67621436900 is an abundant number, since it is smaller than the sum of its proper divisors (79132230160).

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

67621436900 is a wasteful number, since it uses less digits than its factorization.

67621436900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69824 (or 69817 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 44.

It can be divided in two parts, 676 and 21436900, that multiplied together give a square (14491344400 = 1203802).

The spelling of 67621436900 in words is "sixty-seven billion, six hundred twenty-one million, four hundred thirty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 11621 23242 46484 58105 58189 116210 116378 232420 232756 290525 290945 581050 581890 1162100 1163780 1454725 2909450 5818900 676214369 1352428738 2704857476 3381071845 6762143690 13524287380 16905359225 33810718450 67621436900