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61072026400 = 2552711991429
BaseRepresentation
bin111000111000001011…
…010010101100100000
312211122012210101111201
4320320023102230200
52000033414321100
644020041250544
74261264442050
oct707013225440
9184565711451
1061072026400
112399a6263a0
12ba04a93a54
1359b3895338
142d54dcd560
1518c691036a
hexe382d2b20

61072026400 has 144 divisors (see below), whose sum is σ = 185881227840. Its totient is φ = 19035417600.

The previous prime is 61072026361. The next prime is 61072026403. The reversal of 61072026400 is 462027016.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (61072026403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 434115 + ... + 557314.

It is an arithmetic number, because the mean of its divisors is an integer number (1290841860).

Almost surely, 261072026400 is an apocalyptic number.

It is an amenable number.

61072026400 is an abundant number, since it is smaller than the sum of its proper divisors (124809201440).

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

61072026400 is a wasteful number, since it uses less digits than its factorization.

61072026400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991467 (or 991454 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 61072026400 in words is "sixty-one billion, seventy-two million, twenty-six thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 44 50 55 56 70 77 80 88 100 110 112 140 154 160 175 176 200 220 224 275 280 308 350 352 385 400 440 550 560 616 700 770 800 880 1100 1120 1232 1400 1540 1760 1925 2200 2464 2800 3080 3850 4400 5600 6160 7700 8800 12320 15400 30800 61600 991429 1982858 3965716 4957145 6940003 7931432 9914290 10905719 13880006 15862864 19828580 21811438 24785725 27760012 31725728 34700015 39657160 43622876 49571450 54528595 55520024 69400030 76340033 79314320 87245752 99142900 109057190 111040048 138800060 152680066 158628640 173500075 174491504 198285800 218114380 222080096 272642975 277600120 305360132 347000150 348983008 381700165 396571600 436228760 545285950 555200240 610720264 694000300 763400330 793143200 872457520 1090571900 1110400480 1221440528 1388000600 1526800660 1744915040 1908500825 2181143800 2442881056 2776001200 3053601320 3817001650 4362287600 5552002400 6107202640 7634003300 8724575200 12214405280 15268006600 30536013200 61072026400