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61429455000 = 233354455033
BaseRepresentation
bin111001001101011110…
…110001100010011000
312212120010100122101000
4321031132301202120
52001301420030000
644115330225000
74303164515664
oct711536614230
9185503318330
1061429455000
1124063364831
12baa4725160
135a3c94c854
142d8a6718a4
1518e7eb5000
hexe4d7b1898

61429455000 has 160 divisors (see below), whose sum is σ = 213228932400. Its totient is φ = 16381152000.

The previous prime is 61429454927. The next prime is 61429455023. The reversal of 61429455000 is 55492416.

61429455000 is a `hidden beast` number, since 6 + 14 + 2 + 94 + 550 + 0 + 0 = 666.

61429455000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 92517 + ... + 362516.

Almost surely, 261429455000 is an apocalyptic number.

61429455000 is a gapful number since it is divisible by the number (60) 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 61429455000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106614466200).

61429455000 is an abundant number, since it is smaller than the sum of its proper divisors (151799477400).

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

61429455000 is a wasteful number, since it uses less digits than its factorization.

61429455000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455068 (or 455043 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 61429455000 in words is "sixty-one billion, four hundred twenty-nine million, four hundred fifty-five thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 125 135 150 180 200 216 225 250 270 300 360 375 450 500 540 600 625 675 750 900 1000 1080 1125 1250 1350 1500 1800 1875 2250 2500 2700 3000 3375 3750 4500 5000 5400 5625 6750 7500 9000 11250 13500 15000 16875 22500 27000 33750 45000 67500 135000 455033 910066 1365099 1820132 2275165 2730198 3640264 4095297 4550330 5460396 6825495 8190594 9100660 10920792 11375825 12285891 13650990 16381188 18201320 20476485 22751650 24571782 27301980 32762376 34127475 40952970 45503300 49143564 54603960 56879125 61429455 68254950 81905940 91006600 98287128 102382425 113758250 122858910 136509900 163811880 170637375 204764850 227516500 245717820 273019800 284395625 307147275 341274750 409529700 455033000 491435640 511912125 568791250 614294550 682549500 819059400 853186875 1023824250 1137582500 1228589100 1365099000 1535736375 1706373750 2047648500 2275165000 2457178200 2559560625 3071472750 3412747500 4095297000 5119121250 6142945500 6825495000 7678681875 10238242500 12285891000 15357363750 20476485000 30714727500 61429455000