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20401811712 = 283319714983
BaseRepresentation
bin10011000000000010…
…101111000100000000
31221122211121102022000
4103000002233010000
5313240330433322
613212241344000
71321401352422
oct230002570400
957584542260
1020401811712
11871a322117
123b54638000
131c01a01a49
14db77dc812
157e618b3ac
hex4c00af100

20401811712 has 144 divisors (see below), whose sum is σ = 60642046080. Its totient is φ = 6765631488.

The previous prime is 20401811701. The next prime is 20401811713. The reversal of 20401811712 is 21711810402.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×204018117122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20401811713) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1354173 + ... + 1369155.

It is an arithmetic number, because the mean of its divisors is an integer number (421125320).

Almost surely, 220401811712 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 20401811712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30321023040).

20401811712 is an abundant number, since it is smaller than the sum of its proper divisors (40240234368).

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

20401811712 is a wasteful number, since it uses less digits than its factorization.

20401811712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15205 (or 15185 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The spelling of 20401811712 in words is "twenty billion, four hundred one million, eight hundred eleven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 197 216 256 288 384 394 432 576 591 768 788 864 1152 1182 1576 1728 1773 2304 2364 3152 3456 3546 4728 5319 6304 6912 7092 9456 10638 12608 14184 14983 18912 21276 25216 28368 29966 37824 42552 44949 50432 56736 59932 75648 85104 89898 113472 119864 134847 151296 170208 179796 226944 239728 269694 340416 359592 404541 453888 479456 539388 680832 719184 809082 958912 1078776 1361664 1438368 1618164 1917824 2157552 2876736 2951651 3236328 3835648 4315104 5753472 5903302 6472656 8630208 8854953 11506944 11806604 12945312 17260416 17709906 23613208 25890624 26564859 34520832 35419812 47226416 51781248 53129718 70839624 79694577 94452832 103562496 106259436 141679248 159389154 188905664 212518872 283358496 318778308 377811328 425037744 566716992 637556616 755622656 850075488 1133433984 1275113232 1700150976 2266867968 2550226464 3400301952 5100452928 6800603904 10200905856 20401811712