Search a number
-
+
60641721216 = 2732149935117
BaseRepresentation
bin111000011110100001…
…110011101110000000
312210112020002121202200
4320132201303232000
51443143240034331
643505230313200
74244521061016
oct703641635600
9183466077680
1060641721216
112379974177a
12b904958800
1359456a2b9b
142d13bba8b6
15189dc625e6
hexe1e873b80

60641721216 has 96 divisors (see below), whose sum is σ = 174624255000. Its totient is φ = 20199846912.

The previous prime is 60641721191. The next prime is 60641721221. The reversal of 60641721216 is 61212714606.

60641721216 is a `hidden beast` number, since 6 + 0 + 6 + 417 + 21 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 1709290 + ... + 1744406.

Almost surely, 260641721216 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 60641721216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87312127500).

60641721216 is an abundant number, since it is smaller than the sum of its proper divisors (113982533784).

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

60641721216 is a wasteful number, since it uses less digits than its factorization.

60641721216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36636 (or 36621 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 60641721216 in words is "sixty billion, six hundred forty-one million, seven hundred twenty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1499 2998 4497 5996 8994 11992 13491 17988 23984 26982 35117 35976 47968 53964 70234 71952 95936 105351 107928 140468 143904 191872 210702 215856 280936 287808 316053 421404 431712 561872 575616 632106 842808 863424 1123744 1264212 1685616 1726848 2247488 2528424 3371232 4494976 5056848 6742464 10113696 13484928 20227392 40454784 52640383 105280766 157921149 210561532 315842298 421123064 473763447 631684596 842246128 947526894 1263369192 1684492256 1895053788 2526738384 3368984512 3790107576 5053476768 6737969024 7580215152 10106953536 15160430304 20213907072 30320860608 60641721216