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10439383010900 = 22521959773120473
BaseRepresentation
bin1001011111101001101110…
…1101110100111001010100
31100221222212112212212101112
42113322123231310321110
52332014324022322100
634111441503514152
72125135433331134
oct227723355647124
940858775785345
1010439383010900
113365354612408
1212072802b8958
135a9577a826bc
142813a9972ac4
1513184409bb35
hex97e9bb74e54

10439383010900 has 144 divisors (see below), whose sum is σ = 24281486510400. Its totient is φ = 3883863075840.

The previous prime is 10439383010891. The next prime is 10439383010929. The reversal of 10439383010900 is 901038393401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86593064 + ... + 86713536.

It is an arithmetic number, because the mean of its divisors is an integer number (168621434100).

Almost surely, 210439383010900 is an apocalyptic number.

10439383010900 is a gapful number since it is divisible by the number (10) 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 10439383010900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12140743255200).

10439383010900 is an abundant number, since it is smaller than the sum of its proper divisors (13842103499500).

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

10439383010900 is a wasteful number, since it uses less digits than its factorization.

10439383010900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121338 (or 121331 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 41.

The spelling of 10439383010900 in words is "ten trillion, four hundred thirty-nine billion, three hundred eighty-three million, ten thousand, nine hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 59 76 95 100 118 190 236 295 380 475 590 773 950 1121 1180 1475 1546 1900 2242 2950 3092 3865 4484 5605 5900 7730 11210 14687 15460 19325 22420 28025 29374 38650 45607 56050 58748 73435 77300 91214 112100 120473 146870 182428 228035 240946 293740 367175 456070 481892 602365 734350 866533 912140 1140175 1204730 1468700 1733066 2280350 2288987 2409460 3011825 3466132 4332665 4560700 4577974 6023650 7107907 8665330 9155948 11444935 12047300 14215814 17330660 21663325 22889870 28431628 35539535 43326650 45779740 57224675 71079070 86653300 93125629 114449350 135050233 142158140 177697675 186251258 228898700 270100466 355395350 372502516 465628145 540200932 675251165 710790700 931256290 1350502330 1769386951 1862512580 2328140725 2701004660 3376255825 3538773902 4656281450 5494412111 6752511650 7077547804 8846934755 9312562900 10988824222 13505023300 17693869510 21977648444 27472060555 35387739020 44234673775 54944121110 88469347550 104393830109 109888242220 137360302775 176938695100 208787660218 274720605550 417575320436 521969150545 549441211100 1043938301090 2087876602180 2609845752725 5219691505450 10439383010900