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1454032045504 = 26374719965651
BaseRepresentation
bin10101001010001011000…
…100000100010111000000
312011000002222211002201101
4111022023010010113000
5142310324200424004
63031550104544144
7210023161314343
oct25121304042700
95130088732641
101454032045504
11510719201855
121b5974482054
13a7164b0832c
145053863245a
1527c519a9ba4
hex1528b1045c0

1454032045504 has 112 divisors (see below), whose sum is σ = 3041630899200. Its totient is φ = 688827110400.

The previous prime is 1454032045493. The next prime is 1454032045513. The reversal of 1454032045504 is 4055402304541.

It is a super-2 number, since 2×14540320455042 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22115079 + ... + 22180729.

Almost surely, 21454032045504 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 1454032045504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520815449600).

1454032045504 is an abundant number, since it is smaller than the sum of its proper divisors (1587598853696).

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

1454032045504 is a wasteful number, since it uses less digits than its factorization.

1454032045504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65946 (or 65936 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 37.

The spelling of 1454032045504 in words is "one trillion, four hundred fifty-four billion, thirty-two million, forty-five thousand, five hundred four".

Divisors: 1 2 4 8 16 32 37 47 64 74 94 148 188 199 296 376 398 592 752 796 1184 1504 1592 1739 2368 3008 3184 3478 6368 6956 7363 9353 12736 13912 14726 18706 27824 29452 37412 55648 58904 65651 74824 111296 117808 131302 149648 235616 262604 299296 346061 471232 525208 598592 692122 1050416 1384244 2100832 2429087 2768488 3085597 4201664 4858174 5536976 6171194 9716348 11073952 12342388 13064549 19432696 22147904 24684776 26129098 38865392 49369552 52258196 77730784 98739104 104516392 114167089 155461568 197478208 209032784 228334178 418065568 456668356 483388313 614033803 836131136 913336712 966776626 1228067606 1826673424 1933553252 2456135212 3653346848 3867106504 4912270424 7306693696 7734213008 9824540848 15468426016 19649081696 22719250711 30936852032 39298163392 45438501422 90877002844 181754005688 363508011376 727016022752 1454032045504